{"isi":1,"publication_status":"published","volume":105,"ddc":["510"],"scopus_import":"1","publication":"Journal of the London Mathematical Society","month":"03","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.","short":"W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society 105 (2022) 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>","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>","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>.","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."},"status":"public","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.","external_id":{"arxiv":["1811.05376"],"isi":["000755205700001"]},"author":[{"id":"41B03CD0-62AE-11E9-84EF-0718E6697425","last_name":"Mistegaard","first_name":"William","full_name":"Mistegaard, William"},{"last_name":"Andersen","first_name":"Jørgen Ellegaard","full_name":"Andersen, Jørgen Ellegaard"}],"date_updated":"2023-08-02T06:53:51Z","has_accepted_license":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","year":"2022","_id":"9977","quality_controlled":"1","doi":"10.1112/jlms.12506","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file":[{"content_type":"application/pdf","relation":"main_file","file_name":"2022_JourLondonMathSoc_Andersen.pdf","checksum":"9c72327d39f34f1a6eaa98fa4b8493f2","creator":"dernst","date_created":"2022-03-24T11:42:25Z","file_size":649130,"date_updated":"2022-03-24T11:42:25Z","access_level":"open_access","success":1,"file_id":"10917"}],"article_type":"original","publisher":"Wiley","department":[{"_id":"TaHa"}],"oa":1,"abstract":[{"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.","lang":"eng"}],"ec_funded":1,"oa_version":"Published Version","date_published":"2022-03-01T00:00:00Z","file_date_updated":"2022-03-24T11:42:25Z","publication_identifier":{"eissn":["1469-7750"]},"date_created":"2021-08-31T12:51:40Z","language":[{"iso":"eng"}],"article_processing_charge":"Yes (via OA deal)","title":"Resurgence analysis of quantum invariants of Seifert fibered homology spheres","page":"709-764","issue":"2","day":"01","project":[{"call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"}],"intvolume":"       105"}