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arXiv:1302.5519 [math.GT]AbstractReferencesReviewsResources

Uniform hyperbolicity of the curve graph via surgery sequences

Matt Clay, Kasra Rafi, Saul Schleimer

Published 2013-02-22Version 1

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.

Comments: 18 pages, 3 figures
Categories: math.GT
Subjects: 57M99, 32F60
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