English

Reidemeister torsion, twisted Alexander polynomial and fibered knots

Geometric Topology 2007-05-23 v1 K-Theory and Homology

Abstract

As a generalization of a classical result on the Alexander polynomial for fibered knots, we show in this paper that the Reidemeister torsion associated to a certain representation detects fiberedness of knots in the three sphere.

Keywords

Cite

@article{arxiv.math/0311155,
  title  = {Reidemeister torsion, twisted Alexander polynomial and fibered knots},
  author = {Hiroshi Goda and Teruaki Kitano and Takayuki Morifuji},
  journal= {arXiv preprint arXiv:math/0311155},
  year   = {2007}
}

Comments

9 pages, 1 figure