Reidemeister transformations of the potential function and the solution

Jinseok Cho*, Jun Murakami

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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' previous papers. In this paper, we define the Reidemeister transformations of the potential function and the solution by the changes of them under the Reidemeister moves of the link diagram and show the explicit formulas. These two formulas enable us to see the changes of the complex volume formula under the Reidemeister moves. As an application, we can simply specify the discrete faithful representation of the link group by showing a link diagram and one geometric solution.

本文言語English
論文番号1750079
ジャーナルJournal of Knot Theory and its Ramifications
26
12
DOI
出版ステータスPublished - 2017 10 1

ASJC Scopus subject areas

  • 代数と数論

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