Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Twisted Alexander polynomials of genus one two-bridge knots
Anh T. Tran
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2018 Volume 41 Issue 1 Pages 86-97

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Abstract

Morifuji [14] computed the twisted Alexander polynomial of twist knots for nonabelian representations. In this paper we compute the twisted Alexander polynomial and Reidemeister torsion of genus one two-bridge knots, a class of knots which includes twist knots. As an application, we give a formula for the Reidemeister torsion of the 3-manifold obtained by -Dehn surgery on a genus one two-bridge knot.

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© 2018 Department of Mathematics, Tokyo Institute of Technology
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