Universal bounds for hyperbolic Dehn surgery
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
This paper gives a quantitative version of Thurston's hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of non-hyperbolic Dehn fillings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling. The proofs involve the construction of a family of hyperbolic cone-manifold structures, using infinitesimal harmonic deformations and analysis of geometric limits.
Cite
@article{arxiv.math/0204345,
title = {Universal bounds for hyperbolic Dehn surgery},
author = {Craig D. Hodgson and Steven P. Kerckhoff},
journal= {arXiv preprint arXiv:math/0204345},
year = {2007}
}
Comments
45 pages, 2 figures