Exact volume of hyperbolic 2-bridge links

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

W. Thurston suggested a method for computing hyperbolic volume of hyperbolic 3-manifolds, based on a triangulation of the manifold. The method was implemented by J. Weeks in the program SnapPea, which produces a decimal approximation as a result. For hyperbolic 2-bridge links, we give formulae that allow one to find the exact volume, i.e., to construct a polynomial and to find volume as an analytic function of one of its roots. The computation is performed directly from a reduced, alternating link diagram.

Original languageEnglish (US)
Pages (from-to)881-896
Number of pages16
JournalCommunications in Analysis and Geometry
Volume22
Issue number5
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

Fingerprint

Hyperbolic Volume
Hyperbolic 3-manifold
Triangulation
Analytic function
Diagram
Roots
Polynomial
Computing
Approximation
Diagrams
Polynomials

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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Exact volume of hyperbolic 2-bridge links. / Tsvietkova, Anastasiia.

In: Communications in Analysis and Geometry, Vol. 22, No. 5, 01.01.2014, p. 881-896.

Research output: Contribution to journalArticle

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