3 papers
math.GT2024
On the Annihilating polynomial of the Colored Jones Polynomial for Some Links
Shun Sawabe
In this paper, we consider polynomials and ideals obtained from the colored Jones polynomial in both commutative and noncommutative cases. In the commutative case, this ideal conta…
math.GT2022
On the Potential Function of the Colored Jones Polynomial and the AJ conjecture
Shun Sawabe
The -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…
math.GT2022
On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors
Shun Sawabe
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…