The classification of Kleinian surface groups, I: Models and bounds
Geometric Topology
2007-05-23 v3 Differential Geometry
Abstract
We give the first part of a proof of Thurston's Ending Lamination conjecture. In this part we show how to construct from the end invariants of a Kleinian surface group a ``Lipschitz model'' for the thick part of the corresponding hyperbolic manifold. This enables us to describe the topological structure of the thick part, and to give a-priori geometric bounds.
Cite
@article{arxiv.math/0302208,
title = {The classification of Kleinian surface groups, I: Models and bounds},
author = {Yair N. Minsky},
journal= {arXiv preprint arXiv:math/0302208},
year = {2007}
}
Comments
102 pages, 13 figures. Slight revision of the statement of the main theorem, and a more complete discussion of the exterior of the convex core