Torus knots and quantum modular forms

Published 22 Sep 2014 in math.NT and math.QA | (1409.6243v1)

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.

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