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arXiv:1302.1632 [math.GT]AbstractReferencesReviewsResources

Twisted Alexander polynomials with the adjoint action for some classes of knots

Anh T. Tran

Published 2013-02-07, updated 2014-09-25Version 2

We calculate the twisted Alexander polynomial with the adjoint action for torus knots and twist knots. As consequences of these calculations, we obtain the formula for the nonabelian Reidemeister torsion of torus knots in \cite{Du} and a formula for the nonabelian Reidemeister torsion of twist knots that is better than the one in \cite{DHY}.

Comments: 9 pages, 1 figure. To appear in Journal of Knot Theory and Its Ramifications
Categories: math.GT
Subjects: 57M27
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