Computation of Hyperbolic Structures in Knot Theory
几何拓扑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0309407,
title = {Computation of Hyperbolic Structures in Knot Theory},
author = {Jeffrey R. Weeks},
journal= {arXiv preprint arXiv:math/0309407},
year = {2007}
}
备注
To appear in the Handbook of Knot Theory. 26 pages, 22 figures