Reidemeister torsion, twisted Alexander polynomial and fibered knots

Hiroshi Goda; Teruaki Kitano; Takayuki Morifuji

doi:10.4171/CMH/3

Reidemeister torsion, twisted Alexander polynomial and fibered knots

Hiroshi Goda, Teruaki Kitano, Takayuki Morifuji

Research output: Contribution to journal › Article › peer-review

41 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 language	English
Pages (from-to)	51-61
Number of pages	11
Journal	Commentarii Mathematici Helvetici
Volume	80
Issue number	1
DOIs	https://doi.org/10.4171/CMH/3
Publication status	Published - 2005
Externally published	Yes

Keywords

Fibered knot
Reidemeister torsion
Representation
Twisted Alexander polynomial

ASJC Scopus subject areas

Mathematics(all)

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10.4171/CMH/3

Cite this

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title = "Reidemeister torsion, twisted Alexander polynomial and fibered knots",

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.",

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AU - Kitano, Teruaki

AU - Morifuji, Takayuki

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N2 - 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.

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KW - Fibered knot

KW - Reidemeister torsion

KW - Representation

KW - Twisted Alexander polynomial

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Reidemeister torsion, twisted Alexander polynomial and fibered knots

Abstract

Keywords

ASJC Scopus subject areas

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