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Category Archives: hyperbolicity of complexes
An even shorter proof that curve graphs are hyperbolic
In this post I described the HenselPrzytyckiWebb proof that curve graphs are (uniformly) hyperbolic. Their methods actually apply to the arc graph, and then they used a clever evil trick due to Harer that involves adding an artificial puncture to … Continue reading
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Hyperbolicity of the curve graph: the proof from The Book
In this post I’ll talk about a lovely paper by Sebastian Hensel, Piotr Przytycki and Richard Webb. They show that all curve graphs are 17hyperbolic. Hyperbolicity of curve graphs is a very very very useful* property because mapping class groups … Continue reading