Torus Knot and Minimal Model
High Energy Physics - Theory
2010-04-05 v1 Geometric Topology
Abstract
We reveal an intimate connection between the quantum knot invariant for torus knot T(s,t) and the character of the minimal model M(s,t), where s and t are relatively prime integers. We show that Kashaev's invariant, i.e., the N-colored Jones polynomial at the N-th root of unity, coincides with the Eichler integral of the character.
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Cite
@article{arxiv.hep-th/0308152,
title = {Torus Knot and Minimal Model},
author = {Kazuhiro Hikami and Anatol N. Kirillov},
journal= {arXiv preprint arXiv:hep-th/0308152},
year = {2010}
}
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10 pages