Reidemeister transformations of the potential function and the solution
2017 ◽
Vol 26
(12)
◽
pp. 1750079
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Keyword(s):
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.
2008 ◽
Vol 17
(08)
◽
pp. 925-937
2019 ◽
Vol 28
(08)
◽
pp. 1950050
2004 ◽
Vol 15
(09)
◽
pp. 959-965
◽
2019 ◽
Vol 28
(01)
◽
pp. 1950001
◽
2007 ◽
Vol 773
(3)
◽
pp. 184-202
◽
2017 ◽
Vol 26
(03)
◽
pp. 1741002
◽
Keyword(s):
2010 ◽
Vol 223
(6)
◽
pp. 2114-2165
◽