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arXiv 2009-05-05 2 views

A survey of twisted Alexander polynomials

Friedl, Stefan · Vidussi, Stefano

Original · EN

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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