Twisted Alexander polynomials of genus one two-bridge knots

Anh T. Tran

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arXiv · 1506.05035

Twisted Alexander polynomials of genus one two-bridge knots

Anh T. Tran

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Abstract

Morifuji computed the twisted Alexander polynomial of twist knots for nonabelian representations. In this paper we compute the twisted Alexander polynomial and the 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 a Dehn surgery on a genus one two-bridge knot.

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Anh T. Tran. 2015-06-16. Twisted Alexander polynomials of genus one two-bridge knots. https://arxiv.org/abs/1506.05035

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