A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion

Yoshikazu Yamaguchi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a λ-regular SU(2) or SL(2, Cℂ)-representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a 2-bridge knot and SU(2)-representations of its knot group.

Original languageEnglish
Pages (from-to)337-362+IX
JournalAnnales de l'Institut Fourier
Volume58
Issue number1
DOIs
Publication statusPublished - 2008
Externally publishedYes

Keywords

  • Knots
  • Reidemeister torsion
  • Representation spaces
  • Twisted Alexander invariant

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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