Twisted Alexander polynomials of twist knots for nonabelian representations

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Abstract

In this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL (2, C)-representations and investigate in detail the coefficient of the highest degree term as a function on the representation space of the knot group. In particular, we introduce the notion of monic representation and discuss its relation to the fiberedness of knots.

Original languageEnglish
Pages (from-to)439-453
Number of pages15
JournalBulletin des Sciences Mathematiques
Volume132
Issue number5
DOIs
Publication statusPublished - 2008 Jul 1
Externally publishedYes

Keywords

  • Representation space
  • Twist knot
  • Twisted Alexander polynomial

ASJC Scopus subject areas

  • Mathematics(all)

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