6 citations · 16 across the 9 of their papers we have counts for
9 papers
On the Hikami-Inoue conjecture
Jinseok Cho, Seokbeom Yoon, Christian K. Zickert
Given a braid presentation of a hyperbolic knot, Hikami and Inoue consider a system of polynomial equations arising from a sequence of cluster mutations determined by . They…
Reidemeister transformations of the potential function and the solution
Jinseok Cho, Jun Murakami
The potential function of the optimistic limit of the colored Jones polynomial and the construction of the solution of the hyperbolicity equations were defined in the authors' prev…
Conneted sum of representations of knot groups
Jinseok Cho
When two boundary-parabolic representations of knot groups are given, we introduce the connected sum of these representations and show several natural properties including the uniq…
Optimistic limit of the colored Jones polynomial and the existence of a solution
Jinseok Cho
For the potential function of a link diagram induced by the optimistic limit of the colored Jones polynomial, we show the existence of a solution of the hyperbolicity equations by…
Quandle theory and the optimistic limits of the representations of link groups
Jinseok Cho
When a boudnary-parabolic representation of a link group to PSL(2,) is given, Inoue and Kabaya suggested a combinatorial method to obtain the developing map of the repr…
Optimistic limits of colored Jones polynomials and complex volumes of hyperbolic links
Jinseok Cho
The optimistic limit is the mathematical formulation of the classical limit which is a physical method to expect the actual limit by using saddle point method of certain potential…
Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links
Jinseok Cho, Hyuk Kim, Seonhwa Kim
Yokota suggested an optimistic limit method of the Kashaev invariants of hyperbolic knots and showed it determines the complex volumes of the knots. His method is very effective an…
Optimistic limits of the colored Jones polynomials
Jinseok Cho, Jun Murakami
We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo .
Yokota theory, the invariant trace fields of hyperbolic knots and the Borel regulator map
Jinseok Cho
For a hyperbolic link complement with a triangulation, there are hyperbolicity equations of the triangulation, which guarantee the hyperbolic structure of the link complement. In t…