Geometric approach to Ending Lamination Conjecture

Abstract

We present a new proof of the bi-Lipschitz model theorem, which occupies the main part of the Ending Lamination Conjecture proved by Minsky and Brock-Canary-Minsky. Our proof is done by using techniques of standard hyperbolic geometry as much as possible.

We prove the bi-Lipschitz model theorem with respect to Minsky's original metric instead of the compressed metric used in previous version

References in corpus (2)

• Geometry of the Complex of Curves I: Hyperbolicity
• Train tracks and the Gromov boundary of the complex of curves

Cited by in corpus (1)

• Hausdorff dimension of non-conical limit sets