Jérôme Dubois, Yoshikazu Yamaguchi
Published 2011-07-17, updated 2012-01-16Version 3
We provide the twisted Alexander polynomials of finite abelian covers over three-dimensional manifolds whose boundary is a finite union of tori. This is a generalization of a well-known formula for the usual Alexander polynomial of knots in finite cyclic branched covers over the three-dimensional sphere.
Comments: 10 pages, v3: The organization was changed. This paper focuses on proving the formula of the twisted Alexander polynomial for finite abelian covering spaces, typos corrected and the main statement and proof were improved, to appear in Algebraic & Geometric Topology
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Twisted Alexander polynomials of 2-bridge knots associated to metabelian representations
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