Computation of Hyperbolic Structures in Knot Theory

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This chapter from the upcoming Handbook of Knot Theory (eds. Menasco and Thistlethwaite) shows how to construct hyperbolic structures on link complements and perform hyperbolic Dehn filling. Along with a new elementary exposition of the standard ideas from Thurston's work, the article includes never-before-published explanations of SnapPea's algorithms for triangulating a link complement efficiently and for converging quickly to the hyperbolic structure while avoiding singularities in the parameter space.
To appear in the Handbook of Knot Theory. 26 pages, 22 figures

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Geometric Topology, 57M25, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/68665

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309407
 http://arxiv.org/abs/math/0309407

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arXiv