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

2022/12/19 by Shun Sawabe, Sawabe, Shun
Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Force Microscopy Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2212.09294

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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