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arXiv:2207.00992 [math.GT]AbstractReferencesReviewsResources

On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors

Shun Sawabe

Published 2022-07-03Version 1

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.

Comments: 21 pages, 18 figures
Categories: math.GT
Subjects: 57M25, 57M27, 57M50
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