The classification of Kleinian surface groups, II: The Ending Lamination Conjecture
Geometric Topology
2011-03-10 v2 Differential Geometry
Abstract
Thurston's Ending Lamination Conjecture states that a hyperbolic 3-manifold N with finitely generated fundamental group is uniquely determined by its topological type and its end invariants. In this paper we prove this conjecture for Kleinian surface groups; the general case when N has incompressible ends relative to its cusps follows readily. The main ingredient is the establishment of a uniformly bilipschitz model for a Kleinian surface group. The first half of the proof appeared in math.GT/0302208, and a subsequent paper will establish the Ending Lamination Conjecture in general.
Cite
@article{arxiv.math/0412006,
title = {The classification of Kleinian surface groups, II: The Ending Lamination Conjecture},
author = {Jeffrey F. Brock and Richard D. Canary and Yair N. Minsky},
journal= {arXiv preprint arXiv:math/0412006},
year = {2011}
}
Comments
143 pages. Comprehensive revision and inclusion of the incompressible ends case