English

Poincar\'e duality and degrees of twisted Alexander polynomials

Geometric Topology 2011-07-18 v1

Abstract

We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degrees of twisted Alexander polynomials of 3-manifolds in many cases.

Keywords

Cite

@article{arxiv.1107.3002,
  title  = {Poincar\'e duality and degrees of twisted Alexander polynomials},
  author = {Stefan Friedl and Taehee Kim and Takahiro Kitayama},
  journal= {arXiv preprint arXiv:1107.3002},
  year   = {2011}
}

Comments

42 pages