Uniform hyperbolicity of the curve graph via surgery sequences
arXiv:1302.5519 · doi:10.2140/agt.2014.14.3325
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.
18 pages, 3 figures