Poincaré duality and degrees of twisted Alexander polynomials

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.

42 pages

References in corpus (2)

• The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds
• Twisted Alexander polynomials and character varieties of 2-bridge knot groups