Hyperbolic structure arising from a knot invariant II: Completeness

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Abstract

We study the geometry of a knot invariant defined in terms of the quantum dilogarithm function. We show that a hyperbolic structure naturally arises in the classical limit of the invariant; the completeness conditions can also be identified with the saddle point equations by studying a (1,1)-tangle.

Original languageEnglish
Pages (from-to)1963-1970
Number of pages8
JournalInternational Journal of Modern Physics B
Volume16
Issue number14-15
Publication statusPublished - Jun 20 2002
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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