Torus links $T_{2s,2t}$ and $(s,t)$-log VOA
Quantum Algebra
2023-06-07 v1 Mathematical Physics
Geometric Topology
math.MP
Representation Theory
Abstract
We reveal an intimate connection between the torus link and the logarithmic VOA. We show that the singlet character of -log VOA at the root of unity coincides with the Kashaev invariant and that it has a property of the quantum modularity. Also shown is that the tail of the -colored Jones polynomial gives the character. Furthermore we propose a geometric method to compute the character.
Keywords
Cite
@article{arxiv.2306.03338,
title = {Torus links $T_{2s,2t}$ and $(s,t)$-log VOA},
author = {Kazuhiro Hikami and Shoma Sugimoto},
journal= {arXiv preprint arXiv:2306.03338},
year = {2023}
}
Comments
15 pages, 7 figures