[{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"date_published":"2024-05-05T00:00:00Z","citation":{"ieee":"T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, and J. Shen, “Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture,” <i>Oberwolfach Reports</i>, vol. 21, no. 2. EMS Press, pp. 949–1004, 2024.","ista":"Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. 2024. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. 21(2), 949–1004.","apa":"Hausel, T., Maulik, D., Mellit, A., Schiffmann, O., &#38; Shen, J. (2024). Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. <i>Oberwolfach Reports</i>. EMS Press. <a href=\"https://doi.org/10.4171/owr/2024/16\">https://doi.org/10.4171/owr/2024/16</a>","chicago":"Hausel, Tamás, Davesh Maulik, Anton Mellit, Olivier Schiffmann, and Junliang Shen. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” <i>Oberwolfach Reports</i>. EMS Press, 2024. <a href=\"https://doi.org/10.4171/owr/2024/16\">https://doi.org/10.4171/owr/2024/16</a>.","short":"T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports 21 (2024) 949–1004.","mla":"Hausel, Tamás, et al. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” <i>Oberwolfach Reports</i>, vol. 21, no. 2, EMS Press, 2024, pp. 949–1004, doi:<a href=\"https://doi.org/10.4171/owr/2024/16\">10.4171/owr/2024/16</a>.","ama":"Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. <i>Oberwolfach Reports</i>. 2024;21(2):949-1004. doi:<a href=\"https://doi.org/10.4171/owr/2024/16\">10.4171/owr/2024/16</a>"},"_id":"18970","OA_place":"publisher","date_created":"2025-01-29T15:34:22Z","author":[{"first_name":"Tamás","orcid":"0000-0002-9582-2634","last_name":"Hausel","full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Davesh","last_name":"Maulik","full_name":"Maulik, Davesh"},{"first_name":"Anton","last_name":"Mellit","full_name":"Mellit, Anton"},{"last_name":"Schiffmann","first_name":"Olivier","full_name":"Schiffmann, Olivier"},{"full_name":"Shen, Junliang","last_name":"Shen","first_name":"Junliang"}],"doi":"10.4171/owr/2024/16","volume":21,"publication_identifier":{"issn":["1660-8933"],"eissn":["1660-8941"]},"article_type":"original","intvolume":"        21","acknowledgement":"The MFO and the workshop organizers would like to thank the\r\nNational Science Foundation for supporting the participation of junior researchers\r\nby the grant DMS-2230648, “US Junior Oberwolfach Fellows”. Moreover, the\r\nMFO and the workshop organizers would like to thank the Oberwolfach Foundation for supporting the participation of junior researchers in the Arbeitsgemeinschaft.","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.4171/owr/2024/16","open_access":"1"}],"page":"949-1004","oa_version":"Published Version","title":"Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture","publication_status":"published","abstract":[{"text":"Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped with the structure of an algebraic completely integrable Hamiltonian system. The second is the character variety of representations of the fundamental group of C into GL(n). In 2012, de Cataldo, Hausel, and Migliorini [1] proposed the P=W conjecture which identifies the perverse filtration on the cohomology of the Higgs moduli space with the weight filtration on the cohomology of the character variety. Recently, in 2022, two independent proofs of the P=W Conjecture appeared, in work of Maulik &Shen [2] and Hausel, Mellit, Minets &Schiffmann [6]. The aim of the Arbeitsgemeinschaft was to understand the P=W Conjecture and these two recent proofs.","lang":"eng"}],"day":"05","issue":"2","OA_type":"hybrid","license":"https://creativecommons.org/licenses/by-sa/4.0/","month":"05","publisher":"EMS Press","year":"2024","type":"journal_article","tmp":{"short":"CC BY-SA (4.0)","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","image":"/images/cc_by_sa.png"},"publication":"Oberwolfach Reports","department":[{"_id":"TaHa"}],"has_accepted_license":"1","article_processing_charge":"No","status":"public","ddc":["500"],"date_updated":"2025-01-29T15:39:55Z","language":[{"iso":"eng"}]},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1810.01818","open_access":"1"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"In this paper we investigate locally free representations of a quiver Q over a commutative Frobenius algebra R by arithmetic Fourier transform. When the base field is finite we prove that the number of isomorphism classes of absolutely indecomposable locally free representations of fixed rank is independent of the orientation of Q. We also prove that the number of isomorphism classes of locally free absolutely indecomposable representations of the preprojective algebra of Q over R equals the number of isomorphism classes of locally free absolutely indecomposable representations of Q over R[t]/(t2). Using these results together with results of Geiss, Leclerc and Schröer we give, when k is algebraically closed, a classification of pairs (Q, R) such that the set of isomorphism classes of indecomposable locally free representations of Q over R is finite. Finally when the representation is free of rank 1 at each vertex of Q, we study the function that counts the number of isomorphism classes of absolutely indecomposable locally free representations of Q over the Frobenius algebra Fq[t]/(tr). We prove that they are polynomial in q and their generating function is rational and satisfies a functional equation."}],"oa_version":"Preprint","title":"Locally free representations of quivers over commutative Frobenius algebras","publication_status":"published","scopus_import":"1","OA_place":"repository","_id":"14930","author":[{"first_name":"Tamás","orcid":"0000-0002-9582-2634","last_name":"Hausel","full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Letellier, Emmanuel","first_name":"Emmanuel","last_name":"Letellier"},{"full_name":"Rodriguez-Villegas, Fernando","last_name":"Rodriguez-Villegas","first_name":"Fernando"}],"date_created":"2024-02-04T23:00:53Z","doi":"10.1007/s00029-023-00914-2","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ama":"Hausel T, Letellier E, Rodriguez-Villegas F. Locally free representations of quivers over commutative Frobenius algebras. <i>Selecta Mathematica</i>. 2024;30(2). doi:<a href=\"https://doi.org/10.1007/s00029-023-00914-2\">10.1007/s00029-023-00914-2</a>","short":"T. Hausel, E. Letellier, F. Rodriguez-Villegas, Selecta Mathematica 30 (2024).","mla":"Hausel, Tamás, et al. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” <i>Selecta Mathematica</i>, vol. 30, no. 2, 20, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00029-023-00914-2\">10.1007/s00029-023-00914-2</a>.","chicago":"Hausel, Tamás, Emmanuel Letellier, and Fernando Rodriguez-Villegas. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” <i>Selecta Mathematica</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00029-023-00914-2\">https://doi.org/10.1007/s00029-023-00914-2</a>.","apa":"Hausel, T., Letellier, E., &#38; Rodriguez-Villegas, F. (2024). Locally free representations of quivers over commutative Frobenius algebras. <i>Selecta Mathematica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00029-023-00914-2\">https://doi.org/10.1007/s00029-023-00914-2</a>","ista":"Hausel T, Letellier E, Rodriguez-Villegas F. 2024. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 30(2), 20.","ieee":"T. Hausel, E. Letellier, and F. Rodriguez-Villegas, “Locally free representations of quivers over commutative Frobenius algebras,” <i>Selecta Mathematica</i>, vol. 30, no. 2. Springer Nature, 2024."},"arxiv":1,"oa":1,"date_published":"2024-01-27T00:00:00Z","acknowledgement":"Special thanks go to Christof Geiss, Bernard Leclerc and Jan Schröer for explaining their work but also for sharing some unpublished results with us. We also thank the referee for many useful suggestions. We would like to thank Tommaso Scognamiglio for pointing out a mistake in the proof of Proposition 5.17 in an earlier version of the paper. We would like also to thank Alexander Beilinson, Bill Crawley-Boevey, Joel Kamnitzer, and Peng Shan for useful discussions.","intvolume":"        30","article_type":"original","volume":30,"publication_identifier":{"issn":["1022-1824"],"eissn":["1420-9020"]},"status":"public","article_number":"20","external_id":{"isi":["001150684300001"],"arxiv":["1810.01818"]},"isi":1,"department":[{"_id":"TaHa"}],"publication":"Selecta Mathematica","article_processing_charge":"No","language":[{"iso":"eng"}],"date_updated":"2025-09-04T11:56:33Z","month":"01","publisher":"Springer Nature","OA_type":"green","issue":"2","day":"27","year":"2024","type":"journal_article"},{"citation":{"apa":"Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive characteristic. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnae005\">https://doi.org/10.1093/imrn/rnae005</a>","mla":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” <i>International Mathematics Research Notices</i>, vol. 2024, no. 7, Oxford University Press, 2024, pp. 6176–208, doi:<a href=\"https://doi.org/10.1093/imrn/rnae005\">10.1093/imrn/rnae005</a>.","short":"S. Shen, International Mathematics Research Notices 2024 (2024) 6176–6208.","chicago":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/imrn/rnae005\">https://doi.org/10.1093/imrn/rnae005</a>.","ama":"Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic. <i>International Mathematics Research Notices</i>. 2024;2024(7):6176-6208. doi:<a href=\"https://doi.org/10.1093/imrn/rnae005\">10.1093/imrn/rnae005</a>","ieee":"S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,” <i>International Mathematics Research Notices</i>, vol. 2024, no. 7. Oxford University Press, pp. 6176–6208, 2024.","ista":"Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024(7), 6176–6208."},"arxiv":1,"date_published":"2024-04-01T00:00:00Z","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"544cccd3-9005-11ec-87bc-94aef1c5b814","full_name":"Shen, Shiyu","last_name":"Shen","orcid":"0000-0002-4444-8718","first_name":"Shiyu"}],"doi":"10.1093/imrn/rnae005","date_created":"2024-02-14T12:16:17Z","scopus_import":"1","OA_place":"publisher","_id":"14986","article_type":"original","volume":2024,"publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"acknowledgement":"This work was supported by the NSF [DMS-1502125to S.S.]; and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins for many helpful discussions on this subject and for his comments on this paper. I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments on an earlier version of this paper.","intvolume":"      2024","file_date_updated":"2024-07-22T11:41:57Z","quality_controlled":"1","page":"6176-6208","publication_status":"published","oa_version":"Published Version","title":"Tamely ramified geometric Langlands correspondence in positive characteristic","abstract":[{"lang":"eng","text":"We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for GLn(k). Let k be an algebraically closed field of characteristic p>n. Let X be a smooth projective curve over k with marked points, and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod) of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman to the tamely ramified case. We also prove a correspondence between flat connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles ."}],"OA_type":"hybrid","license":"https://creativecommons.org/licenses/by/4.0/","day":"01","issue":"7","publisher":"Oxford University Press","month":"04","corr_author":"1","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413"}],"type":"journal_article","year":"2024","ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"keyword":["General Mathematics"],"article_processing_charge":"Yes (via OA deal)","department":[{"_id":"TaHa"}],"isi":1,"has_accepted_license":"1","publication":"International Mathematics Research Notices","PlanS_conform":"1","external_id":{"isi":["001157898100001"],"arxiv":["1810.12491"]},"status":"public","date_updated":"2025-09-09T08:30:06Z","file":[{"date_updated":"2024-07-22T11:41:57Z","file_size":1488981,"content_type":"application/pdf","success":1,"file_name":"2024_IMRN_Shen.pdf","file_id":"17308","checksum":"e3cd31ebb2e79b5b1f34d1c4ac9f5b0f","date_created":"2024-07-22T11:41:57Z","creator":"dernst","access_level":"open_access","relation":"main_file"}],"ddc":["510"],"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"ddc":["510"],"file":[{"creator":"dernst","access_level":"open_access","file_id":"17315","file_name":"2024_AdvancesMath_Shen.pdf","date_created":"2024-07-22T12:10:03Z","checksum":"68f2f08136ccf547891a16a2c0621e97","relation":"main_file","success":1,"content_type":"application/pdf","date_updated":"2024-07-22T12:10:03Z","file_size":702889}],"date_updated":"2025-09-04T13:21:18Z","status":"public","external_id":{"arxiv":["2302.02817"],"isi":["001216128200001"]},"article_number":"109616","publication":"Advances in Mathematics","isi":1,"has_accepted_license":"1","department":[{"_id":"TaHa"}],"article_processing_charge":"Yes (via OA deal)","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"ec_funded":1,"year":"2024","project":[{"grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"type":"journal_article","corr_author":"1","month":"05","publisher":"Elsevier","issue":"5","day":"01","OA_type":"hybrid","abstract":[{"lang":"eng","text":"Applying the technique of p-adic integration, we prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli spaces of (strongly) parabolic Higgs bundles for the structure groups SLn and PGLn, building on previous work of Groechenig-Wyss-Ziegler on the non-parabolic case. We also prove the E-polynomial of the smooth moduli space of parabolic GLn-Higgs bundles is independent of the degree of the underlying vector bundles."}],"title":"Mirror symmetry for parabolic Higgs bundles via p-adic integration","oa_version":"Published Version","publication_status":"published","quality_controlled":"1","file_date_updated":"2024-07-22T12:10:03Z","intvolume":"       443","acknowledgement":"Shiyu Shen has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413.","publication_identifier":{"issn":["0001-8708"],"eissn":["1090-2082"]},"volume":443,"article_type":"original","_id":"15248","OA_place":"publisher","scopus_import":"1","doi":"10.1016/j.aim.2024.109616","author":[{"orcid":"0000-0002-4444-8718","last_name":"Shen","first_name":"Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","full_name":"Shen, Shiyu"}],"date_created":"2024-03-31T22:01:11Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-05-01T00:00:00Z","oa":1,"citation":{"apa":"Shen, S. (2024). Mirror symmetry for parabolic Higgs bundles via p-adic integration. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2024.109616\">https://doi.org/10.1016/j.aim.2024.109616</a>","mla":"Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” <i>Advances in Mathematics</i>, vol. 443, no. 5, 109616, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.aim.2024.109616\">10.1016/j.aim.2024.109616</a>.","short":"S. Shen, Advances in Mathematics 443 (2024).","chicago":"Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” <i>Advances in Mathematics</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.aim.2024.109616\">https://doi.org/10.1016/j.aim.2024.109616</a>.","ama":"Shen S. Mirror symmetry for parabolic Higgs bundles via p-adic integration. <i>Advances in Mathematics</i>. 2024;443(5). doi:<a href=\"https://doi.org/10.1016/j.aim.2024.109616\">10.1016/j.aim.2024.109616</a>","ieee":"S. Shen, “Mirror symmetry for parabolic Higgs bundles via p-adic integration,” <i>Advances in Mathematics</i>, vol. 443, no. 5. Elsevier, 2024.","ista":"Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616."},"arxiv":1},{"quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2303.01404","open_access":"1"}],"publication_status":"published","oa_version":"Preprint","title":"Hitchin map on even very stable upward flows","abstract":[{"lang":"eng","text":"We define even very stable Higgs bundles and study the Hitchin map restricted to their upward flows. In the GLn case, we classify the type (1,…,1) examples, and find that they are governed by a root system formed by the roots of even height. We discuss how the spectrum of equivariant cohomology of real and quaternionic Grassmannians, 4n-spheres and the real Cayley plane appear to describe the Hitchin map on even cominuscule upward flows. The even upward flows in question are the same as upward flows in Higgs bundle moduli spaces for quasi-split inner real forms. The latter spaces have been pioneered by Oscar García-Prada and his collaborators."}],"date_published":"2024-04-04T00:00:00Z","oa":1,"citation":{"ieee":"M. González and T. Hausel, “Hitchin map on even very stable upward flows,” <i>International Journal of Mathematics</i>, vol. 35, no. 09. World Scientific Publishing, 2024.","ista":"González M, Hausel T. 2024. Hitchin map on even very stable upward flows. International Journal of Mathematics. 35(09), 2441009.","apa":"González, M., &#38; Hausel, T. (2024). Hitchin map on even very stable upward flows. <i>International Journal of Mathematics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129167X2441009X\">https://doi.org/10.1142/S0129167X2441009X</a>","chicago":"González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” <i>International Journal of Mathematics</i>. World Scientific Publishing, 2024. <a href=\"https://doi.org/10.1142/S0129167X2441009X\">https://doi.org/10.1142/S0129167X2441009X</a>.","mla":"González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” <i>International Journal of Mathematics</i>, vol. 35, no. 09, 2441009, World Scientific Publishing, 2024, doi:<a href=\"https://doi.org/10.1142/S0129167X2441009X\">10.1142/S0129167X2441009X</a>.","short":"M. González, T. Hausel, International Journal of Mathematics 35 (2024).","ama":"González M, Hausel T. Hitchin map on even very stable upward flows. <i>International Journal of Mathematics</i>. 2024;35(09). doi:<a href=\"https://doi.org/10.1142/S0129167X2441009X\">10.1142/S0129167X2441009X</a>"},"arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","doi":"10.1142/S0129167X2441009X","date_created":"2024-04-21T22:00:54Z","author":[{"full_name":"González, Miguel","first_name":"Miguel","last_name":"González"},{"full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634"}],"_id":"15339","scopus_import":"1","volume":35,"publication_identifier":{"issn":["0129-167X"],"eissn":["1793-6519"]},"article_type":"original","intvolume":"        35","acknowledgement":"Most of the research for this paper was done when the first author visited the second author's group at IST Austria as a summer intern in 2022. The second author was supported by an FWF grant \"Geometry of the top of the nilpotent cone\" number P35847.","article_processing_charge":"No","publication":"International Journal of Mathematics","department":[{"_id":"TaHa"}],"isi":1,"external_id":{"arxiv":["2303.01404"],"isi":["001251179200003"]},"article_number":"2441009","status":"public","date_updated":"2025-09-04T13:40:37Z","language":[{"iso":"eng"}],"issue":"09","day":"04","publisher":"World Scientific Publishing","month":"04","project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","grant_number":"P35847","name":"Geometry of the tip of the global nilpotent cone"}],"type":"journal_article","year":"2024"},{"publication_status":"published","title":"Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz","oa_version":"Preprint","abstract":[{"lang":"eng","text":"The Gibbons-Hawking ansatz provides a large family of circle-invariant hyperkähler 4-manifolds, and thus Calabi-Yau 2-folds. In this setting, we prove versions of the Thomas conjecture on existence of special Lagrangian representatives of Hamiltonian isotopy classes of Lagrangians, and the Thomas-Yau conjecture on longtime existence of the Lagrangian mean curvature ow. We also make observations concerning closed geodesics, curve shortening flow and minimal surfaces."}],"quality_controlled":"1","page":"1121-1184","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2002.10391","open_access":"1"}],"publication_identifier":{"issn":["0022-040X"]},"volume":126,"article_type":"original","intvolume":"       126","date_published":"2024-03-01T00:00:00Z","oa":1,"arxiv":1,"citation":{"ista":"Lotay JD, Oliveira G. 2024. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. 126(3), 1121–1184.","ieee":"J. D. Lotay and G. Oliveira, “Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz,” <i>Journal of Differential Geometry</i>, vol. 126, no. 3. International Press, pp. 1121–1184, 2024.","ama":"Lotay JD, Oliveira G. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. <i>Journal of Differential Geometry</i>. 2024;126(3):1121-1184. doi:<a href=\"https://doi.org/10.4310/jdg/1717348872\">10.4310/jdg/1717348872</a>","chicago":"Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” <i>Journal of Differential Geometry</i>. International Press, 2024. <a href=\"https://doi.org/10.4310/jdg/1717348872\">https://doi.org/10.4310/jdg/1717348872</a>.","mla":"Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” <i>Journal of Differential Geometry</i>, vol. 126, no. 3, International Press, 2024, pp. 1121–84, doi:<a href=\"https://doi.org/10.4310/jdg/1717348872\">10.4310/jdg/1717348872</a>.","short":"J.D. Lotay, G. Oliveira, Journal of Differential Geometry 126 (2024) 1121–1184.","apa":"Lotay, J. D., &#38; Oliveira, G. (2024). Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. <i>Journal of Differential Geometry</i>. International Press. <a href=\"https://doi.org/10.4310/jdg/1717348872\">https://doi.org/10.4310/jdg/1717348872</a>"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","doi":"10.4310/jdg/1717348872","author":[{"full_name":"Lotay, Jason D.","last_name":"Lotay","first_name":"Jason D."},{"first_name":"Goncalo","last_name":"Oliveira","full_name":"Oliveira, Goncalo","id":"58abbde8-f455-11eb-a497-98c8fd71b905"}],"date_created":"2024-07-22T07:45:31Z","_id":"17292","OA_place":"repository","scopus_import":"1","date_updated":"2025-09-08T08:27:51Z","language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"Journal of Differential Geometry","department":[{"_id":"TaHa"}],"isi":1,"external_id":{"arxiv":["2002.10391"],"isi":["001271790200007"]},"status":"public","type":"journal_article","year":"2024","issue":"3","day":"01","OA_type":"green","publisher":"International Press","corr_author":"1","month":"03"},{"month":"09","corr_author":"1","publisher":"Springer Nature","day":"09","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"ec_funded":1,"year":"2024","type":"journal_article","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"status":"public","external_id":{"isi":["001287455300001"]},"department":[{"_id":"TaHa"}],"has_accepted_license":"1","isi":1,"publication":"Transformation Groups","article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2025-09-08T08:56:08Z","scopus_import":"1","_id":"17437","author":[{"first_name":"Tanguy","last_name":"Vernet","full_name":"Vernet, Tanguy","id":"19f1e3bf-c59a-11ee-a1af-ed269948817b"}],"doi":"10.1007/s00031-024-09873-0","date_created":"2024-08-18T22:01:04Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ama":"Vernet T. Rational singularities for moment maps of totally negative quivers. <i>Transformation Groups</i>. 2024. doi:<a href=\"https://doi.org/10.1007/s00031-024-09873-0\">10.1007/s00031-024-09873-0</a>","mla":"Vernet, Tanguy. “Rational Singularities for Moment Maps of Totally Negative Quivers.” <i>Transformation Groups</i>, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00031-024-09873-0\">10.1007/s00031-024-09873-0</a>.","chicago":"Vernet, Tanguy. “Rational Singularities for Moment Maps of Totally Negative Quivers.” <i>Transformation Groups</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00031-024-09873-0\">https://doi.org/10.1007/s00031-024-09873-0</a>.","short":"T. Vernet, Transformation Groups (2024).","apa":"Vernet, T. (2024). Rational singularities for moment maps of totally negative quivers. <i>Transformation Groups</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00031-024-09873-0\">https://doi.org/10.1007/s00031-024-09873-0</a>","ista":"Vernet T. 2024. Rational singularities for moment maps of totally negative quivers. Transformation Groups.","ieee":"T. Vernet, “Rational singularities for moment maps of totally negative quivers,” <i>Transformation Groups</i>. Springer Nature, 2024."},"oa":1,"date_published":"2024-09-09T00:00:00Z","acknowledgement":"I would like to warmly thank Dimitri Wyss for his guidance and supervision and Nero Budur for helpful discussions and answering all my questions on his previous works. I would also like to thank Francesca Carocci, Ben Davison, Lucien Hennecart and Olivier Schiffmann for helpful remarks and discussions during the writing of this paper. Finally, I would like to thank the anonymous referees for their careful reading and suggesting improvements in the exposition.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria). This work was supported by the Swiss National Science Foundation [No. 196960]. This project has also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","article_type":"original","publication_identifier":{"issn":["1083-4362"],"eissn":["1531-586X"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00031-024-09873-0"}],"quality_controlled":"1","abstract":[{"text":"We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the rational singularities property to other moduli spaces of objects in 2-Calabi-Yau categories, based on recent work of Davison. This has interesting arithmetic applications on quiver moment maps and moduli spaces of objects in 2-Calabi-Yau categories. First, we generalize results of Wyss on the asymptotic behaviour of counts of jets of quiver moment maps over finite fields. Moreover, we interpret the limit of counts of jets on a given moduli space as its p-adic volume under a canonical measure analogous to the measure built by Carocci, Orecchia and Wyss on certain moduli spaces of coherent sheaves.","lang":"eng"}],"title":"Rational singularities for moment maps of totally negative quivers","oa_version":"Published Version","publication_status":"epub_ahead"},{"language":[{"iso":"eng"}],"date_updated":"2026-04-07T12:42:44Z","ddc":["516"],"file":[{"creator":"msisak","access_level":"open_access","checksum":"8c4893e726aaa4b3efb82758da9b6851","file_name":"MASisak_dissertation.pdf","file_id":"18467","date_created":"2024-10-23T14:42:45Z","relation":"main_file","success":1,"content_type":"application/pdf","date_updated":"2024-10-23T14:42:45Z","file_size":1672547},{"relation":"source_file","access_level":"closed","creator":"msisak","file_id":"18468","checksum":"1831b072e861a1e5481024ca9d02b036","file_name":"MASisak_source.zip","date_created":"2024-10-23T14:43:56Z","content_type":"application/x-zip-compressed","date_updated":"2024-10-24T08:09:13Z","file_size":617913}],"status":"public","article_processing_charge":"No","has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"keyword":["hyperkaehler geometry","branes","mirror symmetry","T-duality"],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"type":"dissertation","project":[{"grant_number":"26069","name":"Branes on hyperkähler manifolds","_id":"6286e8c4-2b32-11ec-9570-f5297902f67f"}],"year":"2024","publisher":"Institute of Science and Technology Austria","corr_author":"1","month":"10","degree_awarded":"PhD","day":"24","OA_type":"free access","abstract":[{"text":"In [KW06] Kapustin and Witten conjectured that there is a mirror symmetry relation between\r\nthe hyperkähler structures on certain Higgs bundle moduli spaces. As a consequence, they\r\nconjecture an equivalence between categories of BBB and BAA-branes. At the classical\r\nlevel, this mirror symmetry is given by T-duality between semi-flat hyperkähler structures on\r\nalgebraic integrable systems.\r\nIn this thesis, we investigate the T-duality relation between hyperkähler structures and the\r\ncorresponding branes on affine torus bundles. We use the techniques of generalized geometry\r\nto show that semi-flat hyperkähler structures are T-dual on algebraic integrable systems.\r\nWe also describe T-duality for generalized branes. Motivated by Fourier-Mukai transform\r\nwe upgrade the T-duality between generalized branes to T-duality of submanifolds endowed\r\nwith U(1)-bundles and connections. This T-duality in the appropriate context specializes to\r\nT-duality between BBB and BAA-branes.\r\n","lang":"eng"}],"publication_status":"published","oa_version":"Published Version","title":"T-dual branes on hyperkähler manifolds","page":"178","file_date_updated":"2024-10-24T08:09:13Z","publication_identifier":{"issn":["2663-337X"]},"alternative_title":["ISTA Thesis"],"date_created":"2024-10-19T12:00:37Z","author":[{"first_name":"Maria A","last_name":"Sisak","full_name":"Sisak, Maria A","id":"44A03D04-AEA4-11E9-B225-EA2DE6697425"}],"doi":"10.15479/at:ista:18443","_id":"18443","OA_place":"publisher","date_published":"2024-10-24T00:00:00Z","oa":1,"supervisor":[{"full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamás","orcid":"0000-0002-9582-2634","last_name":"Hausel"}],"citation":{"ieee":"M. A. Sisak, “T-dual branes on hyperkähler manifolds,” Institute of Science and Technology Austria, 2024.","ista":"Sisak MA. 2024. T-dual branes on hyperkähler manifolds. Institute of Science and Technology Austria.","apa":"Sisak, M. A. (2024). <i>T-dual branes on hyperkähler manifolds</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18443\">https://doi.org/10.15479/at:ista:18443</a>","mla":"Sisak, Maria A. <i>T-Dual Branes on Hyperkähler Manifolds</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18443\">10.15479/at:ista:18443</a>.","chicago":"Sisak, Maria A. “T-Dual Branes on Hyperkähler Manifolds.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18443\">https://doi.org/10.15479/at:ista:18443</a>.","short":"M.A. Sisak, T-Dual Branes on Hyperkähler Manifolds, Institute of Science and Technology Austria, 2024.","ama":"Sisak MA. T-dual branes on hyperkähler manifolds. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18443\">10.15479/at:ista:18443</a>"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd"},{"degree_awarded":"PhD","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","day":"25","publisher":"Institute of Science and Technology Austria","month":"06","corr_author":"1","project":[{"name":"Topology of open smooth varieties with a torus action","grant_number":"26525","_id":"34cd0f74-11ca-11ed-8bc3-bf0492a14a24"}],"type":"dissertation","year":"2024","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)"},"keyword":["equivariant cohomology","zero schemes","algebraic groups","Lie algebras"],"article_processing_charge":"No","department":[{"_id":"TaHa"},{"_id":"GradSch"}],"has_accepted_license":"1","status":"public","ddc":["516"],"file":[{"content_type":"application/zip","date_updated":"2024-06-26T21:00:14Z","file_size":2761814,"date_created":"2024-06-26T20:56:27Z","file_id":"17179","file_name":"thesis.zip","checksum":"1610063569f5452f8a5acef728c2fc26","creator":"krychlew","access_level":"closed","relation":"source_file"},{"checksum":"7bbadb1fbc9ed2a1ecf54597f88af99c","file_id":"17180","file_name":"thesis.pdf","date_created":"2024-06-26T20:58:24Z","access_level":"open_access","creator":"krychlew","relation":"main_file","content_type":"application/pdf","file_size":3695952,"date_updated":"2024-06-26T20:58:24Z"}],"date_updated":"2026-04-07T12:55:46Z","language":[{"iso":"eng"}],"related_material":{"record":[{"status":"public","id":"17157","relation":"part_of_dissertation"}]},"citation":{"ista":"Rychlewicz KP. 2024. Equivariant cohomology and rings of functions. Institute of Science and Technology Austria.","ieee":"K. P. Rychlewicz, “Equivariant cohomology and rings of functions,” Institute of Science and Technology Austria, 2024.","chicago":"Rychlewicz, Kamil P. “Equivariant Cohomology and Rings of Functions.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:17156\">https://doi.org/10.15479/at:ista:17156</a>.","short":"K.P. Rychlewicz, Equivariant Cohomology and Rings of Functions, Institute of Science and Technology Austria, 2024.","mla":"Rychlewicz, Kamil P. <i>Equivariant Cohomology and Rings of Functions</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:17156\">10.15479/at:ista:17156</a>.","ama":"Rychlewicz KP. Equivariant cohomology and rings of functions. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:17156\">10.15479/at:ista:17156</a>","apa":"Rychlewicz, K. P. (2024). <i>Equivariant cohomology and rings of functions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:17156\">https://doi.org/10.15479/at:ista:17156</a>"},"supervisor":[{"full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634"}],"date_published":"2024-06-25T00:00:00Z","oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","doi":"10.15479/at:ista:17156","author":[{"full_name":"Rychlewicz, Kamil P","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425","first_name":"Kamil P","last_name":"Rychlewicz"}],"date_created":"2024-06-23T15:07:06Z","OA_place":"publisher","_id":"17156","alternative_title":["ISTA Thesis"],"publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2024-06-26T21:00:14Z","page":"117","publication_status":"published","title":"Equivariant cohomology and rings of functions","oa_version":"Published Version","abstract":[{"text":"This dissertation is the summary of the author’s work, concerning the relations between\r\ncohomology rings of algebraic varieties and rings of functions on zero schemes and fixed\r\npoint schemes. For most of the thesis, the focus is on smooth complex varieties with\r\nan action of a principally paired group, e.g. a parabolic subgroup of a reductive group.\r\nThe fundamental theorem 5.2.11 from co-authored article [66] says that if the principal\r\nnilpotent has a unique zero, then the zero scheme over the Kostant section is isomorphic\r\nto the spectrum of the equivariant cohomology ring, remembering the grading in terms of\r\na C^* action. A similar statement is proved also for the G-invariant functions on the total\r\nzero scheme over the whole Lie algebra. Additionally, we are able to prove an analogous\r\nresult for the GKM spaces, which poses the question on a joint generalisation.\r\nWe also tackle the situation of a singular variety. As long as it is embedded in a smooth\r\nvariety with regular action, we are able to study its cohomology as well by means of\r\nthe zero scheme. In case of e.g. Schubert varieties this determines the cohomology ring\r\ncompletely. In largest generality, this allows us to see a significant part of the cohomology\r\nring.\r\nWe also show (Theorem 6.2.1) that the cohomology ring of spherical varieties appears as\r\nthe ring of functions on the zero scheme. The computational aspect is not easy, but one\r\ncan hope that this can bring some concrete information about such cohomology rings.\r\nLastly, the K-theory conjecture 6.3.1 is studied, with some results attained for GKM\r\nspaces.\r\nThe thesis includes also an introduction to group actions on algebraic varieties. In\r\nparticular, the vector fields associated to the actions are extensively studied. We also\r\nprovide a version of the Kostant section for arbitrary principally paired group, which\r\nparametrises the regular orbits in the Lie algebra of an algebraic group. Before proving\r\nthe main theorem, we also include a historical overview of the field. In particular we bring\r\ntogether the results of Akyildiz, Carrell and Lieberman on non-equivariant cohomology\r\nrings.","lang":"eng"}]},{"day":"15","issue":"4","corr_author":"1","month":"07","publisher":"American Physical Society","year":"2023","type":"journal_article","project":[{"_id":"26986C82-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"A path-integral approach to composite impurities","grant_number":"M02641"},{"grant_number":"M02751","name":"Algebro-Geometric Applications of Factorization Homology","call_identifier":"FWF","_id":"26B96266-B435-11E9-9278-68D0E5697425"},{"_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment"},{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020"}],"ec_funded":1,"publication":"Physical Review B","isi":1,"department":[{"_id":"MiLe"},{"_id":"TaHa"}],"article_processing_charge":"No","status":"public","external_id":{"arxiv":["2203.12666"],"isi":["001532067800001"]},"article_number":"045115","date_updated":"2025-09-09T12:45:32Z","language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"date_published":"2023-07-15T00:00:00Z","citation":{"apa":"Bighin, G., Ho, Q. P., Lemeshko, M., &#38; Tscherbul, T. V. (2023). Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.108.045115\">https://doi.org/10.1103/PhysRevB.108.045115</a>","chicago":"Bighin, Giacomo, Quoc P Ho, Mikhail Lemeshko, and T. V. Tscherbul. “Diagrammatic Monte Carlo for Electronic Correlation in Molecules: High-Order Many-Body Perturbation Theory with Low Scaling.” <i>Physical Review B</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/PhysRevB.108.045115\">https://doi.org/10.1103/PhysRevB.108.045115</a>.","mla":"Bighin, Giacomo, et al. “Diagrammatic Monte Carlo for Electronic Correlation in Molecules: High-Order Many-Body Perturbation Theory with Low Scaling.” <i>Physical Review B</i>, vol. 108, no. 4, 045115, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/PhysRevB.108.045115\">10.1103/PhysRevB.108.045115</a>.","short":"G. Bighin, Q.P. Ho, M. Lemeshko, T.V. Tscherbul, Physical Review B 108 (2023).","ama":"Bighin G, Ho QP, Lemeshko M, Tscherbul TV. Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. <i>Physical Review B</i>. 2023;108(4). doi:<a href=\"https://doi.org/10.1103/PhysRevB.108.045115\">10.1103/PhysRevB.108.045115</a>","ieee":"G. Bighin, Q. P. Ho, M. Lemeshko, and T. V. Tscherbul, “Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling,” <i>Physical Review B</i>, vol. 108, no. 4. American Physical Society, 2023.","ista":"Bighin G, Ho QP, Lemeshko M, Tscherbul TV. 2023. Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. Physical Review B. 108(4), 045115."},"arxiv":1,"_id":"13966","scopus_import":"1","date_created":"2023-08-06T22:01:10Z","author":[{"full_name":"Bighin, Giacomo","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","first_name":"Giacomo","orcid":"0000-0001-8823-9777","last_name":"Bighin"},{"full_name":"Ho, Quoc P","id":"3DD82E3C-F248-11E8-B48F-1D18A9856A87","first_name":"Quoc P","orcid":"0000-0001-6889-1418","last_name":"Ho"},{"orcid":"0000-0002-6990-7802","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail"},{"full_name":"Tscherbul, T. V.","first_name":"T. V.","last_name":"Tscherbul"}],"doi":"10.1103/PhysRevB.108.045115","volume":108,"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"article_type":"original","intvolume":"       108","acknowledgement":"We acknowledge stimulating discussions with Sergey Varganov, Artur Izmaylov, Jacek Kłos, Piotr Żuchowski, Dominika Zgid, Nikolay Prokof'ev, Boris Svistunov, Robert Parrish, and Andreas Heßelmann. G.B. and Q.P.H. acknowledge support from the Austrian Science Fund (FWF) under Projects No. M2641-N27 and No. M2751. M.L. acknowledges support by the FWF under Project No. P29902-N27, and by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). T.V.T. was supported by the NSF CAREER award No. PHY-2045681. This work is supported by the German Research Foundation (DFG) under Germany's Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster). The authors acknowledge support by the state of Baden-Württemberg through bwHPC.","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2203.12666","open_access":"1"}],"oa_version":"Preprint","title":"Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling","publication_status":"published","abstract":[{"text":"We present a low-scaling diagrammatic Monte Carlo approach to molecular correlation energies. Using combinatorial graph theory to encode many-body Hugenholtz diagrams, we sample the Møller-Plesset (MPn) perturbation series, obtaining accurate correlation energies up to n=5, with quadratic scaling in the number of basis functions. Our technique reduces the computational complexity of the molecular many-fermion correlation problem, opening up the possibility of low-scaling, accurate stochastic computations for a wide class of many-body systems described by Hugenholtz diagrams.","lang":"eng"}]},{"acknowledgement":"We thank Agnieszka Bodzenta-Skibińska, Paolo Cascini, Wahei Hara, Sándor Kovács, Alexander Kuznetsov, Mircea Musta  ă, Nebojsa Pavic, Pavel Sechin, and Michael Wemyss for discussions and e-mail correspondence. We also thank the anonymous referee for the helpful comments. M.M. was supported by the Institute of Science and Technology Austria. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 101034413. E.S. was partially supported by the EPSRC grant EP/T019379/1 “Derived categories and algebraic K-theory of singularities”, and by the ERC Synergy grant “Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties.”\r\n\r\n","intvolume":"        11","article_type":"original","volume":11,"publication_identifier":{"eissn":["2050-5094"]},"doi":"10.1017/fms.2023.65","author":[{"id":"2cf70c34-09c1-11ed-bd8d-c34fac206130","full_name":"Mauri, Mirko","last_name":"Mauri","first_name":"Mirko"},{"first_name":"Evgeny","last_name":"Shinder","full_name":"Shinder, Evgeny"}],"date_created":"2023-08-27T22:01:16Z","scopus_import":"1","_id":"14239","citation":{"apa":"Mauri, M., &#38; Shinder, E. (2023). Homological Bondal-Orlov localization conjecture for rational singularities. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.65\">https://doi.org/10.1017/fms.2023.65</a>","mla":"Mauri, Mirko, and Evgeny Shinder. “Homological Bondal-Orlov Localization Conjecture for Rational Singularities.” <i>Forum of Mathematics, Sigma</i>, vol. 11, e66, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/fms.2023.65\">10.1017/fms.2023.65</a>.","chicago":"Mauri, Mirko, and Evgeny Shinder. “Homological Bondal-Orlov Localization Conjecture for Rational Singularities.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.65\">https://doi.org/10.1017/fms.2023.65</a>.","short":"M. Mauri, E. Shinder, Forum of Mathematics, Sigma 11 (2023).","ama":"Mauri M, Shinder E. Homological Bondal-Orlov localization conjecture for rational singularities. <i>Forum of Mathematics, Sigma</i>. 2023;11. doi:<a href=\"https://doi.org/10.1017/fms.2023.65\">10.1017/fms.2023.65</a>","ieee":"M. Mauri and E. Shinder, “Homological Bondal-Orlov localization conjecture for rational singularities,” <i>Forum of Mathematics, Sigma</i>, vol. 11. Cambridge University Press, 2023.","ista":"Mauri M, Shinder E. 2023. Homological Bondal-Orlov localization conjecture for rational singularities. Forum of Mathematics, Sigma. 11, e66."},"arxiv":1,"date_published":"2023-08-03T00:00:00Z","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"Given a resolution of rational singularities  π:X~→X  over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor  Rπ∗:Db(X~)→Db(X)\r\n  between bounded derived categories of coherent sheaves generates  Db(X)\r\n  as a triangulated category. This gives a weak version of the Bondal–Orlov localization conjecture [BO02], answering a question from [PS21]. The same result is established more generally for proper (not necessarily birational) morphisms  π:X~→X , with  X~\r\n  smooth, satisfying  Rπ∗(OX~)=OX ."}],"publication_status":"published","title":"Homological Bondal-Orlov localization conjecture for rational singularities","oa_version":"Published Version","file_date_updated":"2023-09-05T06:43:11Z","quality_controlled":"1","ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413"}],"type":"journal_article","year":"2023","publisher":"Cambridge University Press","month":"08","corr_author":"1","day":"03","language":[{"iso":"eng"}],"ddc":["510"],"file":[{"date_updated":"2023-09-05T06:43:11Z","file_size":280865,"content_type":"application/pdf","success":1,"date_created":"2023-09-05T06:43:11Z","checksum":"c36241750cc5cb06890aec0ecdfee626","file_id":"14266","file_name":"2023_ForumMathematics_Mauri.pdf","access_level":"open_access","creator":"dernst","relation":"main_file"}],"date_updated":"2025-04-14T07:54:52Z","article_number":"e66","external_id":{"arxiv":["2212.06786"],"isi":["001041926700001"]},"status":"public","article_processing_charge":"Yes","isi":1,"department":[{"_id":"TaHa"}],"has_accepted_license":"1","publication":"Forum of Mathematics, Sigma"},{"ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"project":[{"grant_number":"320593","name":"Arithmetic and physics of Higgs moduli spaces","call_identifier":"FP7","_id":"25E549F4-B435-11E9-9278-68D0E5697425"},{"name":"Arithmetic quantization of character and quiver varities","grant_number":"153627","_id":"25E6C798-B435-11E9-9278-68D0E5697425"}],"type":"journal_article","year":"2023","publisher":"Wiley","corr_author":"1","month":"10","issue":"4","day":"01","language":[{"iso":"eng"}],"file":[{"success":1,"content_type":"application/pdf","date_updated":"2024-01-30T12:56:00Z","file_size":651335,"relation":"main_file","creator":"dernst","access_level":"open_access","file_name":"2023_ProcLondonMathSoc_Hausel.pdf","checksum":"2af4d2d6a8ae42f7d3fba0188e79ae82","file_id":"14910","date_created":"2024-01-30T12:56:00Z"}],"ddc":["510"],"date_updated":"2025-04-14T09:12:46Z","external_id":{"isi":["001049312700001"],"arxiv":["1807.04057"]},"status":"public","article_processing_charge":"Yes (via OA deal)","publication":"Proceedings of the London Mathematical Society","isi":1,"has_accepted_license":"1","department":[{"_id":"TaHa"}],"intvolume":"       127","acknowledgement":"We would like to thank Gergely Bérczy, Roger Bielawski, Philip Boalch, Sergey Cherkis, Andrew Dancer, Brent Doran, Eloïse Hamilton, Frances Kirwan, Bernard Leclerc, Emmanuel Letellier, Alessia Mandini, Maxence Mayrand, András Némethi, Szilárd Szabó, and Daisuke Yamakawa for discussions related to the paper. We especially thank the referee for an extensive list of very careful comments. At various stages of this project, the authors were supported by the Advanced Grant “Arithmetic and physics of Higgs moduli spaces” no. 320593 of the European Research Council, by grant no. 153627 and NCCR SwissMAP, both funded by the Swiss National Science Foundation as well as by EPF Lausanne and IST Austria. In the final stages of this project, MLW was supported by SFB/TR 45 “Periods, moduli and arithmetic of algebraic varieties,” subproject M08-10 “Moduli of vector bundles on higher-dimensional varieties.” DW was also supported by the Fondation Sciences Mathématiques de Paris, as well as public grants overseen by the Agence national de la recherche (ANR) of France as part of the Investissements d'avenir program, under reference numbers ANR-10-LABX-0098 and ANR-15-CE40-0008 (Défigéo).","volume":127,"publication_identifier":{"issn":["0024-6115"],"eissn":["1460-244X"]},"article_type":"original","author":[{"first_name":"Tamás","orcid":"0000-0002-9582-2634","last_name":"Hausel","full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Michael Lennox","last_name":"Wong","full_name":"Wong, Michael Lennox"},{"first_name":"Dimitri","last_name":"Wyss","full_name":"Wyss, Dimitri"}],"doi":"10.1112/plms.12555","date_created":"2023-08-27T22:01:18Z","_id":"14244","scopus_import":"1","date_published":"2023-10-01T00:00:00Z","oa":1,"citation":{"apa":"Hausel, T., Wong, M. L., &#38; Wyss, D. (2023). Arithmetic and metric aspects of open de Rham spaces. <i>Proceedings of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/plms.12555\">https://doi.org/10.1112/plms.12555</a>","ama":"Hausel T, Wong ML, Wyss D. Arithmetic and metric aspects of open de Rham spaces. <i>Proceedings of the London Mathematical Society</i>. 2023;127(4):958-1027. doi:<a href=\"https://doi.org/10.1112/plms.12555\">10.1112/plms.12555</a>","chicago":"Hausel, Tamás, Michael Lennox Wong, and Dimitri Wyss. “Arithmetic and Metric Aspects of Open de Rham Spaces.” <i>Proceedings of the London Mathematical Society</i>. Wiley, 2023. <a href=\"https://doi.org/10.1112/plms.12555\">https://doi.org/10.1112/plms.12555</a>.","mla":"Hausel, Tamás, et al. “Arithmetic and Metric Aspects of Open de Rham Spaces.” <i>Proceedings of the London Mathematical Society</i>, vol. 127, no. 4, Wiley, 2023, pp. 958–1027, doi:<a href=\"https://doi.org/10.1112/plms.12555\">10.1112/plms.12555</a>.","short":"T. Hausel, M.L. Wong, D. Wyss, Proceedings of the London Mathematical Society 127 (2023) 958–1027.","ieee":"T. Hausel, M. L. Wong, and D. Wyss, “Arithmetic and metric aspects of open de Rham spaces,” <i>Proceedings of the London Mathematical Society</i>, vol. 127, no. 4. Wiley, pp. 958–1027, 2023.","ista":"Hausel T, Wong ML, Wyss D. 2023. Arithmetic and metric aspects of open de Rham spaces. Proceedings of the London Mathematical Society. 127(4), 958–1027."},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"In this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank \r\n bundle on P1. The computation is by motivic Fourier transform. We show that the result satisfies the purity conjecture, that is, it agrees with the pure part of the conjectured mixed Hodge polynomial of the corresponding wild character variety. We also identify the open de Rham spaces with quiver varieties with multiplicities of Yamakawa and Geiss–Leclerc–Schröer. We finish with constructing natural complete hyperkähler metrics on them, which in the four-dimensional cases are expected to be of type ALF.","lang":"eng"}],"publication_status":"published","title":"Arithmetic and metric aspects of open de Rham spaces","oa_version":"Published Version","page":"958-1027","file_date_updated":"2024-01-30T12:56:00Z","quality_controlled":"1"},{"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"year":"2023","type":"journal_article","month":"01","corr_author":"1","publisher":"Springer Nature","day":"10","language":[{"iso":"eng"}],"date_updated":"2024-10-09T21:03:29Z","file":[{"date_created":"2023-01-23T07:53:23Z","file_id":"12336","file_name":"2023_ScientificReports_Gomez.pdf","checksum":"a8b83739f4a951e83e0b2a778f03b327","creator":"dernst","access_level":"open_access","relation":"main_file","file_size":2167792,"date_updated":"2023-01-23T07:53:23Z","content_type":"application/pdf","success":1}],"ddc":["510"],"status":"public","article_number":"468","external_id":{"isi":["001003345000051"]},"isi":1,"department":[{"_id":"TaHa"}],"has_accepted_license":"1","publication":"Scientific Reports","article_processing_charge":"No","acknowledgement":"Gonçalo Oliveira is supported by the NOMIS Foundation, Fundação Serrapilheira 1812-27395, by CNPq grants 428959/2018-0 and 307475/2018-2, and by FAPERJ through the grant Jovem Cientista do Nosso Estado E-26/202.793/2019.","intvolume":"        13","article_type":"original","publication_identifier":{"eissn":["2045-2322"]},"volume":13,"scopus_import":"1","_id":"12329","doi":"10.1038/s41598-022-19827-9","date_created":"2023-01-22T23:00:55Z","author":[{"full_name":"Gómez, Arturo","first_name":"Arturo","last_name":"Gómez"},{"id":"58abbde8-f455-11eb-a497-98c8fd71b905","full_name":"Oliveira, Goncalo","last_name":"Oliveira","first_name":"Goncalo"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"A. Gómez and G. Oliveira, “New approaches to epidemic modeling on networks,” <i>Scientific Reports</i>, vol. 13. Springer Nature, 2023.","ista":"Gómez A, Oliveira G. 2023. New approaches to epidemic modeling on networks. Scientific Reports. 13, 468.","apa":"Gómez, A., &#38; Oliveira, G. (2023). New approaches to epidemic modeling on networks. <i>Scientific Reports</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41598-022-19827-9\">https://doi.org/10.1038/s41598-022-19827-9</a>","ama":"Gómez A, Oliveira G. New approaches to epidemic modeling on networks. <i>Scientific Reports</i>. 2023;13. doi:<a href=\"https://doi.org/10.1038/s41598-022-19827-9\">10.1038/s41598-022-19827-9</a>","short":"A. Gómez, G. Oliveira, Scientific Reports 13 (2023).","mla":"Gómez, Arturo, and Goncalo Oliveira. “New Approaches to Epidemic Modeling on Networks.” <i>Scientific Reports</i>, vol. 13, 468, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1038/s41598-022-19827-9\">10.1038/s41598-022-19827-9</a>.","chicago":"Gómez, Arturo, and Goncalo Oliveira. “New Approaches to Epidemic Modeling on Networks.” <i>Scientific Reports</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41598-022-19827-9\">https://doi.org/10.1038/s41598-022-19827-9</a>."},"oa":1,"date_published":"2023-01-10T00:00:00Z","abstract":[{"text":"In this article, we develop two independent and new approaches to model epidemic spread in a network. Contrary to the most studied models, those developed here allow for contacts with different probabilities of transmitting the disease (transmissibilities). We then examine each of these models using some mean field type approximations. The first model looks at the late-stage effects of an epidemic outbreak and allows for the computation of the probability that a given vertex was infected. This computation is based on a mean field approximation and only depends on the number of contacts and their transmissibilities. This approach shares many similarities with percolation models in networks. The second model we develop is a dynamic model which we analyze using a mean field approximation which highly reduces the dimensionality of the system. In particular, the original system which individually analyses each vertex of the network is reduced to one with as many equations as different transmissibilities. Perhaps the greatest contribution of this article is the observation that, in both these models, the existence and size of an epidemic outbreak are linked to the properties of a matrix which we call the R-matrix. This is a generalization of the basic reproduction number which more precisely characterizes the main routes of infection.","lang":"eng"}],"oa_version":"Published Version","title":"New approaches to epidemic modeling on networks","publication_status":"published","file_date_updated":"2023-01-23T07:53:23Z","quality_controlled":"1"},{"language":[{"iso":"eng"}],"date_updated":"2025-04-14T07:54:52Z","external_id":{"isi":["001027656000006"],"arxiv":["2108.01587"]},"status":"public","article_processing_charge":"No","publication":"Mathematical Research Letters","department":[{"_id":"TaHa"}],"isi":1,"ec_funded":1,"type":"journal_article","project":[{"call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"year":"2023","publisher":"International Press","corr_author":"1","month":"06","day":"21","issue":"1","abstract":[{"lang":"eng","text":"We give a simple argument to prove Nagai’s conjecture for type II degenerations of compact hyperkähler manifolds and cohomology classes of middle degree. Under an additional assumption, the techniques yield the conjecture in arbitrary degree. This would complete the proof of Nagai’s conjecture in general, as it was proved already for type I degenerations by Kollár, Laza, Saccà, and Voisin [10] and independently by Soldatenkov [18], while it is immediate for type III degenerations. Our arguments are close in spirit to a recent paper by Harder [8] proving similar results for the restrictive class of good degenerations."}],"publication_status":"published","oa_version":"Preprint","title":"On type II degenerations of hyperkähler manifolds","page":"125-141","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.01587","open_access":"1"}],"quality_controlled":"1","intvolume":"        30","acknowledgement":"The first author is supported by the ERC Synergy Grant HyperK. The second author is supported by the Max Planck Institute for Mathematics and the Institute of Science and Technology Austria. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413.","publication_identifier":{"eissn":["1945-001X"],"issn":["1073-2780"]},"volume":30,"article_type":"original","doi":"10.4310/mrl.2023.v30.n1.a6","author":[{"first_name":"D.","last_name":"Huybrechts","full_name":"Huybrechts, D."},{"last_name":"Mauri","first_name":"Mirko","id":"2cf70c34-09c1-11ed-bd8d-c34fac206130","full_name":"Mauri, Mirko"}],"date_created":"2023-07-23T22:01:14Z","_id":"13268","scopus_import":"1","oa":1,"date_published":"2023-06-21T00:00:00Z","citation":{"apa":"Huybrechts, D., &#38; Mauri, M. (2023). On type II degenerations of hyperkähler manifolds. <i>Mathematical Research Letters</i>. International Press. <a href=\"https://doi.org/10.4310/mrl.2023.v30.n1.a6\">https://doi.org/10.4310/mrl.2023.v30.n1.a6</a>","ama":"Huybrechts D, Mauri M. On type II degenerations of hyperkähler manifolds. <i>Mathematical Research Letters</i>. 2023;30(1):125-141. doi:<a href=\"https://doi.org/10.4310/mrl.2023.v30.n1.a6\">10.4310/mrl.2023.v30.n1.a6</a>","short":"D. Huybrechts, M. Mauri, Mathematical Research Letters 30 (2023) 125–141.","chicago":"Huybrechts, D., and Mirko Mauri. “On Type II Degenerations of Hyperkähler Manifolds.” <i>Mathematical Research Letters</i>. International Press, 2023. <a href=\"https://doi.org/10.4310/mrl.2023.v30.n1.a6\">https://doi.org/10.4310/mrl.2023.v30.n1.a6</a>.","mla":"Huybrechts, D., and Mirko Mauri. “On Type II Degenerations of Hyperkähler Manifolds.” <i>Mathematical Research Letters</i>, vol. 30, no. 1, International Press, 2023, pp. 125–41, doi:<a href=\"https://doi.org/10.4310/mrl.2023.v30.n1.a6\">10.4310/mrl.2023.v30.n1.a6</a>.","ieee":"D. Huybrechts and M. Mauri, “On type II degenerations of hyperkähler manifolds,” <i>Mathematical Research Letters</i>, vol. 30, no. 1. International Press, pp. 125–141, 2023.","ista":"Huybrechts D, Mauri M. 2023. On type II degenerations of hyperkähler manifolds. Mathematical Research Letters. 30(1), 125–141."},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"type":"book_chapter","project":[{"name":"Arithmetic and physics of Higgs moduli spaces","call_identifier":"FP7","grant_number":"320593","_id":"25E549F4-B435-11E9-9278-68D0E5697425"}],"year":"2022","edition":"1","ec_funded":1,"day":"16","publisher":"Springer Nature; Birkhäuser","month":"06","place":"Cham","date_updated":"2025-04-14T09:12:46Z","series_title":"TM","editor":[{"first_name":"Vladimir","last_name":"Baranovskky","full_name":"Baranovskky, Vladimir"},{"full_name":"Guay, Nicolas","last_name":"Guay","first_name":"Nicolas"},{"last_name":"Schedler","first_name":"Travis","full_name":"Schedler, Travis"}],"language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"Representation Theory and Algebraic Geometry","department":[{"_id":"TaHa"}],"external_id":{"arxiv":["1810.10095"]},"status":"public","publication_identifier":{"isbn":["9783030820060"],"eisbn":["9783030820077"],"eissn":["2297-024X"],"issn":["2297-0215"]},"alternative_title":["Trends in Mathematics"],"acknowledgement":"I.M. thanks Zhijie Dong for long-term discussions on the material that entered this work. We thank Misha Finkelberg for pointing out errors in earlier versions. His advice and his insistence have led to a much better paper. A part of the writing was done at the conference at IST (Vienna) attended by all coauthors. We therefore thank the organizers of the conference and the support of ERC Advanced Grant Arithmetic and Physics of Higgs moduli spaces No. 320593. The work of I.M. was partially supported by NSF grants. The work of Y.Y. was partially supported by the Australian Research Council (ARC) via the award DE190101231. The work of G.Z. was partially supported by ARC via the award DE190101222.","oa":1,"date_published":"2022-06-16T00:00:00Z","citation":{"ama":"Mirković I, Yang Y, Zhao G. Loop Grassmannians of Quivers and Affine Quantum Groups. In: Baranovskky V, Guay N, Schedler T, eds. <i>Representation Theory and Algebraic Geometry</i>. 1st ed. TM. Cham: Springer Nature; Birkhäuser; 2022:347-392. doi:<a href=\"https://doi.org/10.1007/978-3-030-82007-7_8\">10.1007/978-3-030-82007-7_8</a>","mla":"Mirković, Ivan, et al. “Loop Grassmannians of Quivers and Affine Quantum Groups.” <i>Representation Theory and Algebraic Geometry</i>, edited by Vladimir Baranovskky et al., 1st ed., Springer Nature; Birkhäuser, 2022, pp. 347–92, doi:<a href=\"https://doi.org/10.1007/978-3-030-82007-7_8\">10.1007/978-3-030-82007-7_8</a>.","chicago":"Mirković, Ivan, Yaping Yang, and Gufang Zhao. “Loop Grassmannians of Quivers and Affine Quantum Groups.” In <i>Representation Theory and Algebraic Geometry</i>, edited by Vladimir Baranovskky, Nicolas Guay, and Travis Schedler, 1st ed., 347–92. TM. Cham: Springer Nature; Birkhäuser, 2022. <a href=\"https://doi.org/10.1007/978-3-030-82007-7_8\">https://doi.org/10.1007/978-3-030-82007-7_8</a>.","short":"I. Mirković, Y. Yang, G. Zhao, in:, V. Baranovskky, N. Guay, T. Schedler (Eds.), Representation Theory and Algebraic Geometry, 1st ed., Springer Nature; Birkhäuser, Cham, 2022, pp. 347–392.","apa":"Mirković, I., Yang, Y., &#38; Zhao, G. (2022). Loop Grassmannians of Quivers and Affine Quantum Groups. In V. Baranovskky, N. Guay, &#38; T. Schedler (Eds.), <i>Representation Theory and Algebraic Geometry</i> (1st ed., pp. 347–392). Cham: Springer Nature; Birkhäuser. <a href=\"https://doi.org/10.1007/978-3-030-82007-7_8\">https://doi.org/10.1007/978-3-030-82007-7_8</a>","ista":"Mirković I, Yang Y, Zhao G. 2022.Loop Grassmannians of Quivers and Affine Quantum Groups. In: Representation Theory and Algebraic Geometry. Trends in Mathematics, , 347–392.","ieee":"I. Mirković, Y. Yang, and G. Zhao, “Loop Grassmannians of Quivers and Affine Quantum Groups,” in <i>Representation Theory and Algebraic Geometry</i>, 1st ed., V. Baranovskky, N. Guay, and T. Schedler, Eds. Cham: Springer Nature; Birkhäuser, 2022, pp. 347–392."},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Mirković","first_name":"Ivan","full_name":"Mirković, Ivan"},{"full_name":"Yang, Yaping","last_name":"Yang","first_name":"Yaping"},{"first_name":"Gufang","last_name":"Zhao","full_name":"Zhao, Gufang","id":"2BC2AC5E-F248-11E8-B48F-1D18A9856A87"}],"doi":"10.1007/978-3-030-82007-7_8","date_created":"2023-01-16T10:06:41Z","_id":"12303","scopus_import":"1","publication_status":"published","title":"Loop Grassmannians of Quivers and Affine Quantum Groups","oa_version":"Preprint","abstract":[{"text":"We construct for each choice of a quiver Q, a cohomology theory A, and a poset P a “loop Grassmannian” GP(Q,A). This generalizes loop Grassmannians of semisimple groups and the loop Grassmannians of based quadratic forms. The addition of a “dilation” torus D⊆G2m gives a quantization GPD(Q,A). This construction is motivated by the program of introducing an inner cohomology theory in algebraic geometry adequate for the Geometric Langlands program (Mirković, Some extensions of the notion of loop Grassmannians. Rad Hrvat. Akad. Znan. Umjet. Mat. Znan., the Mardešić issue. No. 532, 53–74, 2017) and on the construction of affine quantum groups from generalized cohomology theories (Yang and Zhao, Quiver varieties and elliptic quantum groups, preprint. arxiv1708.01418).","lang":"eng"}],"quality_controlled":"1","page":"347-392","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1810.10095"}]},{"issue":"1","day":"29","publisher":"Mathematical Sciences Publishers","corr_author":"1","month":"08","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411"}],"type":"journal_article","year":"2022","ec_funded":1,"keyword":["Arthur–Selberg trace formula","cuspidal automorphic representations","global function fields"],"article_processing_charge":"No","publication":"Pacific Journal of Mathematics","department":[{"_id":"TaHa"}],"isi":1,"external_id":{"isi":["000954466300006"],"arxiv":["2109.10245"]},"status":"public","date_updated":"2025-04-14T07:44:01Z","language":[{"iso":"eng"}],"oa":1,"date_published":"2022-08-29T00:00:00Z","arxiv":1,"citation":{"ieee":"H. Yu, “ A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications,” <i>Pacific Journal of Mathematics</i>, vol. 321, no. 1. Mathematical Sciences Publishers, pp. 193–237, 2022.","ista":"Yu H. 2022.  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. 321(1), 193–237.","apa":"Yu, H. (2022).  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pjm.2022.321.193\">https://doi.org/10.2140/pjm.2022.321.193</a>","mla":"Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>, vol. 321, no. 1, Mathematical Sciences Publishers, 2022, pp. 193–237, doi:<a href=\"https://doi.org/10.2140/pjm.2022.321.193\">10.2140/pjm.2022.321.193</a>.","short":"H. Yu, Pacific Journal of Mathematics 321 (2022) 193–237.","chicago":"Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers, 2022. <a href=\"https://doi.org/10.2140/pjm.2022.321.193\">https://doi.org/10.2140/pjm.2022.321.193</a>.","ama":"Yu H.  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. <i>Pacific Journal of Mathematics</i>. 2022;321(1):193-237. doi:<a href=\"https://doi.org/10.2140/pjm.2022.321.193\">10.2140/pjm.2022.321.193</a>"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_created":"2023-04-02T22:01:11Z","doi":"10.2140/pjm.2022.321.193","author":[{"first_name":"Hongjie","last_name":"Yu","orcid":"0000-0001-5128-7126","full_name":"Yu, Hongjie","id":"3D7DD9BE-F248-11E8-B48F-1D18A9856A87"}],"_id":"12793","scopus_import":"1","volume":321,"publication_identifier":{"issn":["0030-8730"],"eissn":["1945-5844"]},"article_type":"original","intvolume":"       321","acknowledgement":"I’d like to thank Prof. Chaudouard for introducing me to this area. I’d like to thank Prof. Harris for asking me the question that makes Section 10 possible. I’m grateful for the support of Prof. Hausel and IST Austria. The author was funded by an ISTplus fellowship: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","quality_controlled":"1","page":"193-237","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2109.10245"}],"publication_status":"published","title":" A coarse geometric expansion of a variant of Arthur's truncated traces and some applications","oa_version":"Preprint","abstract":[{"text":"Let F be a global function field with constant field Fq. Let G be a reductive group over Fq. We establish a variant of Arthur's truncated kernel for G and for its Lie algebra which generalizes Arthur's original construction. We establish a coarse geometric expansion for our variant truncation.\r\nAs applications, we consider some existence and uniqueness problems of some cuspidal automorphic representations for the functions field of the projective line P1Fq with two points of ramifications.","lang":"eng"}]},{"acknowledgement":"The author thanks Nigel Hitchin for introducing him to Higgs bundles during 1995–1998,\r\nsuggesting the SYZ picture for Langlands dual Hitchin systems in 1996, and for the\r\nmore recent collaborations [29, 30]. He also thanks David Ben-Zvi, Pierre-Henri Chaudouard, Pierre Deligne, Ron Donagi, Sergei Gukov, Jochen Heinloth, Vadim Kaloshin,\r\nJoel Kamnitzer, Gérard Laumon, Anton Mellit, David Nadler, Andy Neitzke, Ngô Bao\r\nChâu, Michael Thaddeus, Tony Pantev, Du Pei, Richárd Rimányi, Leonid Rybnikov, Vivek\r\nShende, Balázs Szendrői, András Szenes, Fernando Rodriguez-Villegas, Edward Witten,\r\nand Zhiwei Yun for discussions about the subjects in this paper over the years. Thanks are\r\nalso due to Hülya Argüz, Jakub Löwit, Balázs Szendrői, and Nigel Hitchin for the careful\r\nreading of the paper.","publication_identifier":{"isbn":["9783985470587"],"eisbn":["9783985475582"]},"OA_place":"publisher","_id":"19984","date_created":"2025-07-10T13:13:36Z","author":[{"first_name":"Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634","full_name":"Hausel, Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"}],"doi":"10.4171/icm2022/164","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"citation":{"ama":"Hausel T. Enhanced mirror symmetry for Langlands dual Hitchin systems. In: <i>International Congress of Mathematicians</i>. EMS Press; 2022:2228-2249. doi:<a href=\"https://doi.org/10.4171/icm2022/164\">10.4171/icm2022/164</a>","short":"T. Hausel, in:, International Congress of Mathematicians, EMS Press, 2022, pp. 2228–2249.","mla":"Hausel, Tamás. “Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems.” <i>International Congress of Mathematicians</i>, EMS Press, 2022, pp. 2228–49, doi:<a href=\"https://doi.org/10.4171/icm2022/164\">10.4171/icm2022/164</a>.","chicago":"Hausel, Tamás. “Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems.” In <i>International Congress of Mathematicians</i>, 2228–49. EMS Press, 2022. <a href=\"https://doi.org/10.4171/icm2022/164\">https://doi.org/10.4171/icm2022/164</a>.","apa":"Hausel, T. (2022). Enhanced mirror symmetry for Langlands dual Hitchin systems. In <i>International Congress of Mathematicians</i> (pp. 2228–2249). virtuel: EMS Press. <a href=\"https://doi.org/10.4171/icm2022/164\">https://doi.org/10.4171/icm2022/164</a>","ista":"Hausel T. 2022.Enhanced mirror symmetry for Langlands dual Hitchin systems. In: International Congress of Mathematicians. , 2228–2249.","ieee":"T. Hausel, “Enhanced mirror symmetry for Langlands dual Hitchin systems,” in <i>International Congress of Mathematicians</i>, EMS Press, 2022, pp. 2228–2249."},"oa":1,"date_published":"2022-07-15T00:00:00Z","abstract":[{"text":"The first part of this paper is a survey of mathematical results on mirror symmetry phenomena between Hitchin systems for Langlands dual groups. The second part introduces\r\nand discusses multiplicity algebras of the Hitchin system on Lagrangians, and considers\r\ncorresponding conjectural structures on their mirror.","lang":"eng"}],"oa_version":"Published Version","title":"Enhanced mirror symmetry for Langlands dual Hitchin systems","publication_status":"published","page":"2228-2249","file_date_updated":"2025-09-24T09:05:05Z","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"year":"2022","type":"book_chapter","month":"07","corr_author":"1","publisher":"EMS Press","conference":{"location":"virtuel","end_date":"2022-07-14","start_date":"2022-07-06","name":"ICM: International Congress of Mathematicians"},"OA_type":"gold","day":"15","language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2025-09-24T09:12:13Z","file":[{"success":1,"content_type":"application/pdf","date_updated":"2025-09-24T09:05:05Z","file_size":655370,"relation":"main_file","creator":"dernst","access_level":"open_access","checksum":"d2b9d4cf51c854f1082d8dc18c5853b1","file_name":"2022_ICM_Hausel.pdf","date_created":"2025-09-24T09:05:05Z","file_id":"20387"}],"status":"public","external_id":{"arxiv":["2112.09455"]},"has_accepted_license":"1","department":[{"_id":"TaHa"}],"publication":"International Congress of Mathematicians","article_processing_charge":"No"},{"article_type":"original","volume":228,"publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"acknowledgement":"We would like to thank Brian Collier, Davide Gaiotto, Peter Gothen, Jochen Heinloth, Daniel Huybrechts, Quoc Ho, Joel Kamnitzer, Gérard Laumon, Luca Migliorini, Alexander Minets, Brent Pym, Peng Shan, Carlos Simpson, András Szenes, Fernando R. Villegas, Richard Wentworth, Edward Witten and Kōta Yoshioka for interesting comments and discussions. Most of all we are grateful for a long list of very helpful comments by the referee. We would also like to thank the organizers of the Summer School on Higgs bundles in Hamburg in September 2018, where the authors and Richard Wentworth were giving lectures and where the work in this paper started by considering the mirror of the Lagrangian upward flows W+E investigated in [17]. The second author wishes to thank EPSRC and ICMAT for support. Open access funding provided by Institute of Science and Technology (IST Austria).","intvolume":"       228","arxiv":1,"citation":{"apa":"Hausel, T., &#38; Hitchin, N. (2022). Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. <i>Inventiones Mathematicae</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00222-021-01093-7\">https://doi.org/10.1007/s00222-021-01093-7</a>","mla":"Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant Multiplicity and Mirror Symmetry.” <i>Inventiones Mathematicae</i>, vol. 228, Springer Nature, 2022, pp. 893–989, doi:<a href=\"https://doi.org/10.1007/s00222-021-01093-7\">10.1007/s00222-021-01093-7</a>.","chicago":"Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant Multiplicity and Mirror Symmetry.” <i>Inventiones Mathematicae</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00222-021-01093-7\">https://doi.org/10.1007/s00222-021-01093-7</a>.","short":"T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.","ama":"Hausel T, Hitchin N. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. <i>Inventiones Mathematicae</i>. 2022;228:893-989. doi:<a href=\"https://doi.org/10.1007/s00222-021-01093-7\">10.1007/s00222-021-01093-7</a>","ieee":"T. Hausel and N. Hitchin, “Very stable Higgs bundles, equivariant multiplicity and mirror symmetry,” <i>Inventiones Mathematicae</i>, vol. 228. Springer Nature, pp. 893–989, 2022.","ista":"Hausel T, Hitchin N. 2022. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. 228, 893–989."},"date_published":"2022-05-01T00:00:00Z","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1007/s00222-021-01093-7","date_created":"2022-01-30T23:01:34Z","author":[{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634","first_name":"Tamás"},{"full_name":"Hitchin, Nigel","last_name":"Hitchin","first_name":"Nigel"}],"scopus_import":"1","_id":"10704","publication_status":"published","oa_version":"Published Version","title":"Very stable Higgs bundles, equivariant multiplicity and mirror symmetry","abstract":[{"lang":"eng","text":"We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the global nilpotent cone and its relationship to mirror symmetry. The main ingredients are the Bialynicki-Birula theory of C∗-actions on semiprojective varieties, C∗ characters of indices of C∗-equivariant coherent sheaves, Hecke transformation for Higgs bundles, relative Fourier–Mukai transform along the Hitchin fibration, hyperholomorphic structures on universal bundles and cominuscule Higgs bundles."}],"quality_controlled":"1","file_date_updated":"2023-02-27T07:30:47Z","page":"893-989","type":"journal_article","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"year":"2022","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"day":"01","publisher":"Springer Nature","month":"05","corr_author":"1","ddc":["510"],"date_updated":"2025-04-15T06:53:08Z","file":[{"success":1,"file_size":1069538,"date_updated":"2023-02-27T07:30:47Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","creator":"dernst","file_name":"2022_InventionesMahtematicae_Hausel.pdf","checksum":"a382ba75acebc9adfb8fe56247cb410e","file_id":"12687","date_created":"2023-02-27T07:30:47Z"}],"language":[{"iso":"eng"}],"related_material":{"link":[{"url":"https://ista.ac.at/en/news/the-tip-of-the-mathematical-iceberg/","relation":"press_release","description":"News on the ISTA Website"}]},"article_processing_charge":"Yes (via OA deal)","department":[{"_id":"TaHa"}],"has_accepted_license":"1","isi":1,"publication":"Inventiones Mathematicae","external_id":{"isi":["000745495400001"],"arxiv":["2101.08583"]},"status":"public"},{"date_created":"2022-02-20T23:01:33Z","author":[{"id":"3c26b22e-c843-11eb-aa56-d38ffa0bdd08","full_name":"Arguez, Nuroemuer Huelya","last_name":"Arguez","first_name":"Nuroemuer Huelya"}],"doi":"10.1112/jlms.12515","_id":"10772","scopus_import":"1","date_published":"2022-02-05T00:00:00Z","oa":1,"citation":{"apa":"Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>","ama":"Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. 2022;105(1):343-411. doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>","mla":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1, London Mathematical Society, 2022, pp. 343–411, doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>.","short":"N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411.","chicago":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2022. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>.","ieee":"N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1. London Mathematical Society, pp. 343–411, 2022.","ista":"Arguez NH. 2022. Mirror symmetry for the Tate curve via tropical and log corals. Journal of the London Mathematical Society. 105(1), 343–411."},"arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":"       105","acknowledgement":"This paper is based on my PhD thesis, which would not be possible without the support of my advisor Bernd Siebert. I also thank Dan Abramovich, Mohammed Abouzaid, Mark Gross, Tom Coates and Dimitri Zvonkine for many useful conversations. Finally, I thank the anonymous referees for their many insightful comments and valuable suggestions which have resulted in major improvements to this article. This project has received funding from the EuropeanResearch Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement Number: 682603), and from Fondation Mathématique Jacques Hadamard. ","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"volume":105,"article_type":"original","page":"343-411","quality_controlled":"1","file_date_updated":"2022-02-21T11:22:58Z","abstract":[{"text":"We introduce tropical corals, balanced trees in a half-space, and show that they correspond to holomorphic polygons capturing the product rule in Lagrangian Floer theory for the elliptic curve. We then prove a correspondence theorem equating counts of tropical corals to punctured log Gromov–Witten invariants of the Tate curve. This implies that the homogeneous coordinate ring of the mirror to the Tate curve is isomorphic to the degree-zero part of symplectic cohomology, confirming a prediction of homological mirror symmetry.","lang":"eng"}],"publication_status":"published","title":"Mirror symmetry for the Tate curve via tropical and log corals","oa_version":"Published Version","publisher":"London Mathematical Society","corr_author":"1","month":"02","day":"05","issue":"1","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)"},"type":"journal_article","year":"2022","external_id":{"isi":["000751600600001"],"arxiv":["1712.10260"]},"status":"public","article_processing_charge":"Yes (via OA deal)","publication":"Journal of the London Mathematical Society","isi":1,"has_accepted_license":"1","department":[{"_id":"TaHa"}],"language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2024-10-09T21:01:37Z","file":[{"relation":"main_file","access_level":"open_access","creator":"dernst","date_created":"2022-02-21T11:22:58Z","checksum":"8bd0fd9694be894a191857ddf27678f0","file_id":"10783","file_name":"2022_JournLondonMathSociety_Arguez.pdf","success":1,"file_size":936873,"date_updated":"2022-02-21T11:22:58Z","content_type":"application/pdf"}]},{"ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"type":"journal_article","year":"2022","publisher":"Wiley","month":"03","corr_author":"1","issue":"2","day":"01","language":[{"iso":"eng"}],"date_updated":"2025-04-14T07:43:49Z","file":[{"success":1,"content_type":"application/pdf","file_size":649130,"date_updated":"2022-03-24T11:42:25Z","relation":"main_file","creator":"dernst","access_level":"open_access","file_name":"2022_JourLondonMathSoc_Andersen.pdf","checksum":"9c72327d39f34f1a6eaa98fa4b8493f2","date_created":"2022-03-24T11:42:25Z","file_id":"10917"}],"ddc":["510"],"external_id":{"arxiv":["1811.05376"],"isi":["000755205700001"]},"status":"public","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","department":[{"_id":"TaHa"}],"isi":1,"publication":"Journal of the London Mathematical Society","acknowledgement":"We warmly thank S. Gukov for valuable discussions on the GPPV invariant ̂Z𝑎(𝑀3; 𝑞). The first\r\nauthor was supported in part by the center of excellence grant ‘Center for Quantum Geometry\r\nof Moduli Spaces’ from the Danish National Research Foundation (DNRF95) and by the ERCSynergy\r\ngrant ‘ReNewQuantum’. The second author received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement no. 754411.","intvolume":"       105","article_type":"original","publication_identifier":{"eissn":["1469-7750"]},"volume":105,"author":[{"last_name":"Mistegaard","first_name":"William","id":"41B03CD0-62AE-11E9-84EF-0718E6697425","full_name":"Mistegaard, William"},{"first_name":"Jørgen Ellegaard","last_name":"Andersen","full_name":"Andersen, Jørgen Ellegaard"}],"doi":"10.1112/jlms.12506","date_created":"2021-08-31T12:51:40Z","scopus_import":"1","_id":"9977","arxiv":1,"citation":{"ieee":"W. Mistegaard and J. E. Andersen, “Resurgence analysis of quantum invariants of Seifert fibered homology spheres,” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 2. Wiley, pp. 709–764, 2022.","ista":"Mistegaard W, Andersen JE. 2022. Resurgence analysis of quantum invariants of Seifert fibered homology spheres. Journal of the London Mathematical Society. 105(2), 709–764.","apa":"Mistegaard, W., &#38; Andersen, J. E. (2022). Resurgence analysis of quantum invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12506\">https://doi.org/10.1112/jlms.12506</a>","short":"W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society 105 (2022) 709–764.","mla":"Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 2, Wiley, 2022, pp. 709–64, doi:<a href=\"https://doi.org/10.1112/jlms.12506\">10.1112/jlms.12506</a>.","chicago":"Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12506\">https://doi.org/10.1112/jlms.12506</a>.","ama":"Mistegaard W, Andersen JE. Resurgence analysis of quantum invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical Society</i>. 2022;105(2):709-764. doi:<a href=\"https://doi.org/10.1112/jlms.12506\">10.1112/jlms.12506</a>"},"date_published":"2022-03-01T00:00:00Z","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"lang":"eng","text":"For a Seifert fibered homology sphere X we show that the q-series invariant Zˆ0(X; q) introduced by Gukov-Pei-Putrov-Vafa, is a resummation of the Ohtsuki series Z0(X). We show that for every even k ∈ N there exists a full asymptotic expansion of Zˆ0(X; q) for q tending to e 2πi/k, and in particular that the limit Zˆ0(X; e 2πi/k) exists and is equal to the\r\nWRT quantum invariant τk(X). We show that the poles of the Borel transform of Z0(X) coincide with the classical complex Chern-Simons values, which we further show classifies the corresponding components of the moduli space of flat SL(2, C)-connections."}],"publication_status":"published","oa_version":"Published Version","title":"Resurgence analysis of quantum invariants of Seifert fibered homology spheres","page":"709-764","quality_controlled":"1","file_date_updated":"2022-03-24T11:42:25Z"}]