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arXiv · 1302.5519

Uniform hyperbolicity of the curve graph via surgery sequences

Matt Clay·Kasra Rafi·Saul Schleimer
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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.

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Matt Clay, Kasra Rafi, Saul Schleimer. 2013-02-22. Uniform hyperbolicity of the curve graph via surgery sequences. https://doi.org/10.2140/agt.2014.14.3325

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