Geometric approach to Ending Lamination Conjecture
Teruhiko Soma
TL;DR
This paper offers a new proof of the bi-Lipschitz model theorem related to the Ending Lamination Conjecture, utilizing classical hyperbolic geometry techniques to simplify the proof process.
Contribution
It provides a novel proof of a key component of the Ending Lamination Conjecture using more elementary hyperbolic geometry methods.
Findings
New proof of the bi-Lipschitz model theorem
Simplifies the proof of the Ending Lamination Conjecture
Utilizes standard hyperbolic geometry techniques
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research