arXiv:math/0309407 Abstract

arXiv:math/0309407 [math.GT]Abstract References Reviews Resources

Computation of Hyperbolic Structures in Knot Theory

Published 2003-09-24Version 1

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.

Comments: To appear in the Handbook of Knot Theory. 26 pages, 22 figures

Categories: math.GT

Subjects: 57M25, 57M50

Keywords: knot theory, computation, link complement, construct hyperbolic structures, snappeas algorithms

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