The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary

Details The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary

2011-07-17

arxiv.org/abs/1107.3283v3

Mathematics

Geometric Topology

10 pages, v3: The organization was changed. This paper focuses on proving the formula of the twisted Alexander polynomial for

Scientific paper

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.

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