Reidemeister torsion, twisted Alexander polynomial and fibered knots

Hiroshi Goda, Teruaki Kitano, Takayuki Morifuji

Research output: Contribution to journalArticle

34 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)51-61
Number of pages11
JournalCommentarii Mathematici Helvetici
Volume80
Issue number1
Publication statusPublished - 2005
Externally publishedYes

Fingerprint

Fibered Knot
Reidemeister Torsion
Alexander Polynomial
Knot
Generalization

Keywords

  • Fibered knot
  • Reidemeister torsion
  • Representation
  • Twisted Alexander polynomial

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Reidemeister torsion, twisted Alexander polynomial and fibered knots. / Goda, Hiroshi; Kitano, Teruaki; Morifuji, Takayuki.

In: Commentarii Mathematici Helvetici, Vol. 80, No. 1, 2005, p. 51-61.

Research output: Contribution to journalArticle

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