On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors
arXiv:2207.00992 · doi:10.2140/pjm.2023.322.171
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.
21 pages, 18 figures