On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors
Geometric Topology
2023-05-09 v2
Abstract
We consider the potential function of the colored Jones polynomial for a link with arbitrary colors and obtain the cone-manifold structure for the link complement. In addition, we establish a relationship between a saddle point equation and hyperbolicity of the link complement. This provides evidence for the Chen-Yang conjecture on the link complement.
Cite
@article{arxiv.2207.00992,
title = {On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors},
author = {Shun Sawabe},
journal= {arXiv preprint arXiv:2207.00992},
year = {2023}
}
Comments
21 pages, 18 figures