The twisted Reidemeister torsion of an iterated torus knot

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2 Citations (Scopus)


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
Publication statusPublished - 2019 Apr 15


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


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