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.
%0 Generic
%1 Friedl2009a
%A Friedl, Stefan
%A Vidussi, Stefano
%D 2009
%K alexander algebra knot-theory topology
%T A survey of twisted Alexander polynomials
%U http://arxiv.org/abs/0905.0591
%X 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.
@misc{Friedl2009a,
abstract = {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.
},
added-at = {2009-05-29T09:33:58.000+0200},
author = {Friedl, Stefan and Vidussi, Stefano},
biburl = {https://www.bibsonomy.org/bibtex/2b9cef0387e9eebcdadcd9aeb0b9308c2/njj},
interhash = {1e7c5bee62e30daa812fa8009558752d},
intrahash = {b9cef0387e9eebcdadcd9aeb0b9308c2},
keywords = {alexander algebra knot-theory topology},
timestamp = {2009-05-29T09:33:58.000+0200},
title = {A survey of twisted Alexander polynomials},
url = {http://arxiv.org/abs/0905.0591},
year = 2009
}