Modular transformations of homological blocks for Seifert fibered homology 3-spheres

2021/12/12 by Matsusaka, Toshiki, Terashima, Yuji
#11F37 #57K16 #57K31 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2112.06210

Abstract

In this article, for any Seifert fibered integral homology 3-sphere, we give explicit modular transformation formulas of homological blocks introduced by Gukov-Pei-Putrov-Vafa. Moreover, based on the modular transformation formulas, we have explicit asymptotic expansion formulas for the Witten-Reshetikhin-Turaev invariants which give a new proof of a version by Andersen of the Witten asymptotic conjecture.

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