@article{39b17d610e8b4aeeb4d34529c3ecc615,
title = "Reidemeister transformations of the potential function and the solution",
abstract = "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.",
keywords = "Reidemeister moves, boundary-parabolic representation, hyperbolic volume, link group, optimistic limit",
author = "Jinseok Cho and Jun Murakami",
note = "Funding Information: The first author is supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education (NRF-2015R1C1A1A02037540). The appendix is motivated by the discussion with Christian Zickert and the authors appreciate him. The authors also show gratitude to the anonymous reviewer who suggested a better proof of Lemma 3.1 than the original. Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",
year = "2017",
month = oct,
day = "1",
doi = "10.1142/S0218216517500791",
language = "English",
volume = "26",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "12",
}