Uniform hyperbolicity of the curve graph via surgery sequences

Publication date

2013-01-01



Abstract

We prove that the curve graph $ \calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface $ S$ . The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by Hilion and Horbez.

Document Type

Preliminary Edition

Language

English

CDU Subject

Subject

Matemàtiques

Pages

20 p.

Published in

CRM Preprints

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