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arXiv:math/0302208 [math.GT]AbstractReferencesReviewsResources

The classification of Kleinian surface groups, I: Models and bounds

Yair N. Minsky

Published 2003-02-18, updated 2004-12-01Version 3

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.

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
Categories: math.GT, math.DG
Subjects: 30F40, 57M50
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