Twisted Alexander invariants of knot group representations II; computation and duality

Takefumi Nosaka

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arXiv · 2004.03255

Twisted Alexander invariants of knot group representations II; computation and duality

Takefumi Nosaka

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Abstract

Given a homomorphism from a link group to a group, we introduce a $K_1$-class in another way, which is a generalization of the 1-variable Alexander polynomial. We compare the $K_1$-class with $K_1$-classes in \cite{Nos} and with Reidemeister torsions. As a corollary, we show a relation to Reidemeister torsions of finite cyclic covering spaces, and show reciprocity in some senses.

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Takefumi Nosaka. 2020-04-07. Twisted Alexander invariants of knot group representations II; computation and duality. https://arxiv.org/abs/2004.03255

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