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

Published 3 Jul 2022 in math.GT | (2207.00992v2)

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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