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

研究成果: Article › 査読

49 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	51-61
ページ数	11
ジャーナル	Commentarii Mathematici Helvetici
巻	80
号	1
DOI	https://doi.org/10.4171/CMH/3
出版ステータス	Published - 2005
外部発表	はい

ASJC Scopus subject areas

数学一般

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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.",

keywords = "Fibered knot, Reidemeister torsion, Representation, Twisted Alexander polynomial",

author = "Hiroshi Goda and Teruaki Kitano and Takayuki Morifuji",

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AU - Goda, Hiroshi

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.

AB - 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.

KW - Fibered knot

KW - Reidemeister torsion

KW - Representation

KW - Twisted Alexander polynomial

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UR - https://www.scopus.com/pages/publications/27844480995#tab=citedBy

U2 - 10.4171/CMH/3

DO - 10.4171/CMH/3

M3 - Article

AN - SCOPUS:27844480995

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JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

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Reidemeister torsion, twisted Alexander polynomial and fibered knots

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