Torus Knot and Minimal Model

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.

10 pages

References in corpus (2)

• q-series and L-functions related to half-derivatives of the Andrews--Gordon identity
• Quantum Knot Invariant for Torus Link and Modular Forms

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