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arXiv · 1409.6243

Torus knots and quantum modular forms

Kazuhiro Hikami·Jeremy Lovejoy
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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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Kazuhiro Hikami, Jeremy Lovejoy. 2014-09-22. Torus knots and quantum modular forms. https://arxiv.org/abs/1409.6243

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