Hyperbolic structure arising from a knot invariant II: Completeness

Kazuhiro Hikami

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 language	English
Pages (from-to)	1963-1970
Number of pages	8
Journal	International Journal of Modern Physics B
Volume	16
Issue number	14-15
Publication status	Published - Jun 20 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Condensed Matter Physics

Cite this

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Hyperbolic structure arising from a knot invariant II: Completeness

Abstract

All Science Journal Classification (ASJC) codes

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