{"author":[{"first_name":"Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","full_name":"Shen, Shiyu","last_name":"Shen"}],"file":[{"success":1,"checksum":"68f2f08136ccf547891a16a2c0621e97","creator":"dernst","access_level":"open_access","file_name":"2024_AdvancesMath_Shen.pdf","relation":"main_file","date_updated":"2024-07-22T12:10:03Z","file_size":702889,"file_id":"17315","content_type":"application/pdf","date_created":"2024-07-22T12:10:03Z"}],"publisher":"Elsevier","oa_version":"Published Version","month":"05","publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"article_number":"109616","publication_status":"published","has_accepted_license":"1","date_published":"2024-05-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","day":"01","status":"public","publication":"Advances in Mathematics","_id":"15248","scopus_import":"1","ddc":["510"],"date_created":"2024-03-31T22:01:11Z","external_id":{"arxiv":["2302.02817"]},"language":[{"iso":"eng"}],"issue":"5","quality_controlled":"1","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."}],"department":[{"_id":"TaHa"}],"year":"2024","file_date_updated":"2024-07-22T12:10:03Z","volume":443,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2024-07-22T12:10:47Z","ec_funded":1,"corr_author":"1","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.","doi":"10.1016/j.aim.2024.109616","citation":{"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.","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>","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>.","short":"S. Shen, Advances in Mathematics 443 (2024).","ista":"Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616.","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>."},"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"article_type":"original","intvolume":"       443","title":"Mirror symmetry for parabolic Higgs bundles via p-adic integration","type":"journal_article"}