Divisibility of twisted Alexander polynomials and fibered knots

Teruaki Kitano, Takayuki Morifuji

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We prove that Wada's twisted Alexander polynomial of a knot group associated to any nonabelian SL (2, F)-representation is a polynomial. As a corollary, we show that it is always a monic polynomial of degree 4g - 2 for a fibered knot of genus g.

Original languageEnglish
Pages (from-to)179-186
Number of pages8
JournalAnnali della Scuola Normale - Classe di Scienze
Volume4
Issue number1
Publication statusPublished - 2005
Externally publishedYes

Fingerprint

Fibered Knot
Knot Group
Alexander Polynomial
Monic polynomial
Divisibility
Genus
Corollary
Polynomials
Polynomial

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)

Cite this

Divisibility of twisted Alexander polynomials and fibered knots. / Kitano, Teruaki; Morifuji, Takayuki.

In: Annali della Scuola Normale - Classe di Scienze, Vol. 4, No. 1, 2005, p. 179-186.

Research output: Contribution to journalArticle

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