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A Survey of Twisted Alexander Polynomials

  • Stefan FriedlEmail author
  • Stefano Vidussi
Chapter
Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 1)

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.

Keywords

Conjugacy Class Free Abelian Group Floer Homology Alexander Polynomial Seifert Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.University of WarwickCoventryUK
  2. 2.Department of MathematicsUniversity of CaliforniaRiversideUSA

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