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

Shun Sawabe

doi:10.2140/pjm.2023.322.171

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arXiv · 2207.00992

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

Shun Sawabe

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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.

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Shun Sawabe. 2022-07-03. On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors. https://doi.org/10.2140/pjm.2023.322.171

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