Uniform hyperbolicity of the curve graph via surgery sequences

By Matt Clay, Kasra Rafi, Saul Schleimer. 2013

81 citations recorded by the source corpus.

We prove that the curve graph C (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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/28beb1f712663d7c61cf22832625817a204c6d14

Citations in the corpus

• Uniform hyperbolicity of the curve graphs (2014, unknown): “I have been informed that Clay, Rafi and Schleimer have another proof of this result by quite different methods [CRS].”