English

Alexander-Lin twisted polynomials

Geometric Topology 2009-08-14 v1

Abstract

X.S. Lin's original definition of twisted Alexander knot polynomial is generalized for arbitrary finitely presented groups. J. Cha's fibering obstruction theorem is generalized. The group of a nontrivial virtual knot shown by L. Kauffman to have trivial Jones polynomial is seen also to have a faithful representation that yields a trivial twisted Alexander polynomial.

Keywords

Cite

@article{arxiv.0908.1965,
  title  = {Alexander-Lin twisted polynomials},
  author = {Daniel S. Silver and Susan G. Williams},
  journal= {arXiv preprint arXiv:0908.1965},
  year   = {2009}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-21T13:35:19.517Z