Reidemeister torsion, twisted Alexander polynomial and fibered knots

Hiroshi Goda; Teruaki Kitano; Takayuki Morifuji

doi:10.4171/cmh/3

JournalscmhVol. 80, No. 1pp. 51–61

Reidemeister torsion, twisted Alexander polynomial and fibered knots

Hiroshi Goda
Tokyo University of Agriculture and Technology, Japan
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Teruaki Kitano
Tokyo Institute of Technology, Japan
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Takayuki Morifuji
Tokyo University of Agriculture and Technology, Japan
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- zbMATH Open

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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