Kashaev invariants of twice-iterated torus knots

Hitoshi Murakami, Anh T. Tran

Research output: Contribution to journalArticlepeer-review

Abstract

We calculate the asymptotic behavior of the Kashaev invariant of a twice-itarated torus knot and obtain topological interpretation of the formula in terms of the Chern–Simons invariant and the twisted Reidemeister torsion.

Original languageEnglish
Article number107602
JournalTopology and its Applications
Volume290
DOIs
Publication statusPublished - 2021 Mar 1

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

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