Resurgence analysis of quantum invariants of Seifert fibered homology spheres Mistegaard, William Andersen, Jørgen Ellegaard ddc:510 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 WRT 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. Wiley 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/9977 https://research-explorer.ista.ac.at/download/9977/10917 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1112/jlms.12506 info:eu-repo/semantics/altIdentifier/e-issn/1469-7750 info:eu-repo/semantics/altIdentifier/wos/000755205700001 info:eu-repo/semantics/altIdentifier/arxiv/1811.05376 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess