Twisted Alexander polynomials of genus one two-bridge knots

2015/06/16 by Tran, Anh T.
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57N10 #Secondary 57M25

paper · doi:10.48550/arxiv.1506.05035

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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