English

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

Geometric Topology 2025-12-02 v6

Abstract

The AA-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 AA-polynomial and the colored Jones polynomial. In this paper, we connect these conjectures from the perspective of the parametrized potential function.

Keywords

Cite

@article{arxiv.2212.09294,
  title  = {On the Potential Function of the Colored Jones Polynomial and the AJ conjecture},
  author = {Shun Sawabe},
  journal= {arXiv preprint arXiv:2212.09294},
  year   = {2025}
}

Comments

23 pages, 2 figures