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

Yair N. Minsky

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

Yair N. Minsky

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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.

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Yair N. Minsky. 2004-12-01. The classification of Kleinian surface groups, I: Models and bounds. https://arxiv.org/abs/math/0302208

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