Torus knots and quantum modular forms

2014/09/22 by Hikami, Kazuhiro, Lovejoy, Jeremy · 1 citation
#FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1409.6243

Abstract

In this paper we compute a q-hypergeometric expression for the cyclotomic expansion of the colored Jones polynomial for the left-handed torus knot (2,2t+1) and use this to define a family of quantum modular forms which are dual to the generalized Kontsevich-Zagier series.

Cited by

• Bailey pairs and quantum q-series identites. I. The classical identities

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