On the twisted Alexander polynomial for metabelian representations into SL2(C)

Yoshikazu Yamaguchi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We observe the twisted Alexander polynomial for metabelian representations of knot groups into SL2(C) and study relations to the characterizations of metabelian representations in the character varieties. We give a factorization of the twisted Alexander polynomial for irreducible metabelian representations with the adjoint action on sl2(C), in which the Alexander polynomial and the twisted Alexander polynomial appear as factors. We also show several explicit examples.

Original languageEnglish
Pages (from-to)1760-1772
Number of pages13
JournalTopology and its Applications
Volume160
Issue number13
DOIs
Publication statusPublished - 2013 Aug 15
Externally publishedYes

Keywords

  • Binary dihedral representations
  • Knots
  • Metabelian representations
  • PriThe twisted Alexander polynomial
  • SL2(C)-representations

ASJC Scopus subject areas

  • Geometry and Topology

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