Geometric approach to Ending Lamination Conjecture

2008/01/28 by Teruhiko Soma, Soma, Teruhiko
Mathematics · #30F40 #57M50 #Advanced Operator Algebra Research #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0801.4236

openalex publication_date 2008/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Train tracks and the Gromov boundary of the complex of curves

Related

• The Ending Laminations Theorem direct from Teichmuller geodesics
• Layered models for closed 3-manifolds
• The classification of Kleinian surface groups, I: Models and bounds
• Laminational models for some spaces of polynomials of any degree
• Combinatorial and Geometrical Aspects of Hyperbolic 3-Manifolds