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arxiv: 1107.3002 · v1 · pith:IQTDVPRWnew · submitted 2011-07-15 · 🧮 math.GT

Poincar\'e duality and degrees of twisted Alexander polynomials

classification 🧮 math.GT
keywords twistedalexanderpolynomialsdegreesdualitycasescorollarydetermine
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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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