On the Potential Function of the Colored Jones Polynomial and the AJ conjecture

Shun Sawabe

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arXiv · 2212.09294

On the Potential Function of the Colored Jones Polynomial and the AJ conjecture

Shun Sawabe

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Abstract

The $A$-polynomial is conjectured to be obtained from the potential function of the colored Jones polynomial by elimination. The AJ conjecture also implies the relationship between the $A$-polynomial and the colored Jones polynomial. In this paper, we connect these conjectures from the perspective of the parametrized potential function.

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Shun Sawabe. 2022-12-19. On the Potential Function of the Colored Jones Polynomial and the AJ conjecture. https://arxiv.org/abs/2212.09294

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