English

Twisted Alexander polynomials detect the unknot

Geometric Topology 2009-05-21 v4

Abstract

The group of a nontrivial knot admits a finite permutation representation such that the corresponding twisted Alexander polynomial is not a unit.

Keywords

Cite

@article{arxiv.math/0604084,
  title  = {Twisted Alexander polynomials detect the unknot},
  author = {Daniel S Silver and Susan G Williams},
  journal= {arXiv preprint arXiv:math/0604084},
  year   = {2009}
}

Comments

This is the version published by Algebraic & Geometric Topology on 14 November 2006