English

Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials

Geometric Topology 2021-03-16 v1

Abstract

In this paper we will study properties of twisted Alexander polynomials of knots corresponding to metabelian representations. In particular we answer a question of Wada about the twisted Alexander polynomial associated to the tensor product of two representations, and we settle several conjectures of Hirasawa and Murasugi.

Keywords

Cite

@article{arxiv.1209.4244,
  title  = {Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials},
  author = {Hans U. Boden and Stefan Friedl},
  journal= {arXiv preprint arXiv:1209.4244},
  year   = {2021}
}

Comments

21 pages, 1 figure