Geodesic
The classification of Kleinian surface groups, I: models and bounds
Yair Minsky1
1Department of Mathematics<br/>Yale University<br/>New Haven, CT 06520-8283<br/>United States
Annals of mathematics, Tome 171 (2010) no. 1, pp. 1-107
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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.

DOI : 10.4007/annals.2010.171.1

Yair Minsky  1

1 Department of Mathematics<br/>Yale University<br/>New Haven, CT 06520-8283<br/>United States 
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Yair Minsky. The classification of Kleinian surface groups, I: models and bounds. Annals of mathematics, Tome 171 (2010) no. 1, pp. 1-107. doi: 10.4007/annals.2010.171.1

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