Uniform Hyperbolicity of the Curve Graphs
نویسنده
چکیده
We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is k-hyperbolic. An independent proof of this has been found by Clay, Rafi and Schleimer.
منابع مشابه
1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
We describe unicorn paths in the arc graph and show that they form 1-slim triangles and are invariant under taking subpaths. We deduce that all arc graphs are 7-hyperbolic. Considering the same paths in the arc and curve graph, this also shows that all curve graphs are 17-hyperbolic, including closed surfaces.
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