The twisted Reidemeister torsion of an iterated torus knot

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2 Citations (Scopus)

Abstract

We calculate the twisted Reidemeister torsion of the complement of an iterated torus knot associated with a representation of its fundamental group to the complex special linear group of degree two. We also show that the twisted Reidemeister torsions associated with various representations appear in the asymptotic expansion of the colored Jones polynomial.

Original languageEnglish
Pages (from-to)22-66
Number of pages45
JournalTopology and its Applications
Volume257
DOIs
Publication statusPublished - 2019 Apr 15

Keywords

  • Chern–Simons invariant
  • Colored Jones polynomial
  • Iterated torus knot
  • Reidemeister torsion
  • Volume conjecture

ASJC Scopus subject areas

  • Geometry and Topology

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