Category Archives: guessing geodesics

Hyperbolicity of the curve graph: the proof from The Book

Posted on February 8, 2013 by Alex Sisto

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 17-hyperbolic. Hyperbolicity of curve graphs is a very very very useful* property because mapping class groups … Continue reading →

Posted in guessing geodesics, hyperbolicity of complexes | 3 Comments

BI: Guessing geodesics in hyperbolic spaces

Posted on July 16, 2012 by Alex Sisto

In this post I’ll discuss a cool lemma due to Brian Bowditch (from this paper) which is very useful when you want to show that a space is hyperbolic. The most direct way of showing that is hyperbolic is trying … Continue reading →

Posted in guessing geodesics | 2 Comments