Uniform hyperbolicity of the curve graph via surgery sequences

Author

Clay, M.

Rafi, K.

Schleimer, S.

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

51 - Mathematics

Subject

Matemàtiques

Pages

20 p.

Version of

CRM Preprints

Documents

Pr1167MaRcAt.pdf

437.7Kb

 

Rights

L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/

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