A survey of twisted Alexander polynomials

Details A survey of twisted Alexander polynomials A survey of twisted Alexander polynomials

2009-05-05

arxiv.org/abs/0905.0591v3

Mathematics

Geometric Topology

42 pages, final version of the survey paper to be published by the proceedings of the conference `The Mathematics of Knots: Th

Scientific paper

We give a short introduction to the theory of twisted Alexander polynomials of a 3--manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems. We conclude with a short summary of the theory of higher order Alexander polynomials.

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