The classification of Kleinian surface groups, I: Models and bounds
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- February 2003
- DOI:
- 10.48550/arXiv.math/0302208
- arXiv:
- arXiv:math/0302208
- Bibcode:
- 2003math......2208M
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Differential Geometry;
- 30F40;
- 57M50
- E-Print:
- 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