Indiana University Mathematics Journal · 2012 · 26 citations · 13 references
Schubert CalculusDuality TheoremsKnot TheoryPoincaré DualityAlgebraic AnalysisAlgebraic CombinatoricsTwisted Reidemeister TorsionsEnumerative GeometryTwisted Alexander PolynomialsReal Algebraic GeometryLie Theory
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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A Duality Theorem for Reidemeister Torsion
John Milnor · Annals of Mathematics · 1962 · 256 citations