English

Twisted Alexander invariants detect trivial links

Geometric Topology 2019-08-15 v1

Abstract

It follows from earlier work of Silver-Williams and the authors that twisted Alexander polynomials detect the unknot and the Hopf link. We now show that twisted Alexander polynomials also detect the trefoil and the figure-8 knot, that twisted Alexander polynomials detect whether a link is split and that twisted Alexander modules detect trivial links.

Keywords

Cite

@article{arxiv.1306.3487,
  title  = {Twisted Alexander invariants detect trivial links},
  author = {Stefan Friedl and Stefano Vidussi},
  journal= {arXiv preprint arXiv:1306.3487},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-22T00:34:07.410Z