Twisted Alexander polynomials of torus links

Teruaki Kitano, Takayuki Morifuji, Anh T. Tran

Research output: Contribution to journalArticle

Abstract

In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

Original languageEnglish
Article number2050016
JournalJournal of Knot Theory and its Ramifications
Volume29
Issue number4
DOIs
Publication statusPublished - 2020 Apr 1

Keywords

  • Character variety
  • torus link
  • twisted Alexander polynomial

ASJC Scopus subject areas

  • Algebra and Number Theory

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