Twisted Alexander invariants of knot group representations

2020/02/24 by Nosaka, Takefumi
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2002.10192

Abstract

Given a homomorphism from a knot group to a fixed group, we introduce an element of a K₁-group, which is a generalization of (twisted) Alexander polynomials. We compare this K₁-class with other Alexander polynomials. In terms of semi-local rings, we compute the K₁-classes of some knots and show their non-triviality. We also introduce metabelian Alexander polynomials.

Related

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