JournalscmhVol. 80, No. 1pp. 51–61

Reidemeister torsion, twisted Alexander polynomial and fibered knots

  • Hiroshi Goda

    Tokyo University of Agriculture and Technology, Japan

  • Teruaki Kitano

    Tokyo Institute of Technology, Japan

  • Takayuki Morifuji

    Tokyo University of Agriculture and Technology, Japan
Reidemeister torsion, twisted Alexander polynomial and fibered knots cover
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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.

Cite this article

Hiroshi Goda, Teruaki Kitano, Takayuki Morifuji, Reidemeister torsion, twisted Alexander polynomial and fibered knots. Comment. Math. Helv. 80 (2005), no. 1, pp. 51–61

DOI 10.4171/CMH/3