The coloured jones polynomial, the chern-simons invariant, and the reidemeister torsion of the figure-eight knot

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5 Citations (Scopus)

Abstract

We show that from the asymptotic behaviour of an evaluation of the coloured Jones polynomial of the figure-eight knot we can extract the Chern-Simons invariant and the twisted Reidemeister torsion associated with a representation of the fundamental group of the knot complement to the two-dimensional complex special linear group.

Original languageEnglish
Article numberjts036
Pages (from-to)193-216
Number of pages24
JournalJournal of Topology
Volume6
Issue number1
DOIs
Publication statusPublished - 2013 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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