Torus knots and quantum modular forms
Number Theory
2014-09-23 v1 Quantum Algebra
Abstract
In this paper we compute a -hypergeometric expression for the cyclotomic expansion of the colored Jones polynomial for the left-handed torus knot and use this to define a family of quantum modular forms which are dual to the generalized Kontsevich-Zagier series.
Keywords
Cite
@article{arxiv.1409.6243,
title = {Torus knots and quantum modular forms},
author = {Kazuhiro Hikami and Jeremy Lovejoy},
journal= {arXiv preprint arXiv:1409.6243},
year = {2014}
}
Comments
16 pages