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


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.


Yair Minsky

Department of Mathematics
Yale University
New Haven, CT 06520-8283
United States