Uniform hyperbolicity of the curve graph via surgery sequences
classification
🧮 math.GT
keywords
hyperbolicitycurvegraphproofcalccomplexconstantfree
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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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