Twisted Alexander invariants of knot group representations

Autor:	Nosaka, Takefumi
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	Given a homomorphism from a knot group to a fixed group, we introduce an element of a $K_1$-group, which is a generalization of (twisted) Alexander polynomials. We compare this $K_1$-class with other Alexander polynomials. In terms of semi-local rings, we compute the $K_1$-classes of some knots and show their non-triviality. We also introduce metabelian Alexander polynomials. Comment: I revised minor errors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.10192 Zobrazit plný text záznamu View this record from Arxiv