The classification of Kleinian surface groups , II : The Ending Lamination Conjecture

@inproceedings{Brock2004TheCO,
title={The classification of Kleinian surface groups , II : The Ending Lamination Conjecture},
author={Jeffrey F. Brock and Richard D. Canary and Yair N. Minsky},
year={2004}
}

Thurston’s Ending Lamination Conjecture states that a hyperbolic 3manifold 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 a uniformly bilipschitz model for the quotient of H by a Kleinian