Poincaré duality and degrees of twisted Alexander polynomials

Details Poincaré duality and degrees of twisted Alexander polynomials Poincaré duality and degrees of twisted Alexander polynomials

2011-07-15

arxiv.org/abs/1107.3002v1

Mathematics

Geometric Topology

42 pages

Scientific paper

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.

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