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

Shun Sawabe

Published 2022-12-19Version 1

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. We also consider the link version of the AJ conjecture.