Uniform Hyperbolicity of the Curve Graph
|
Wed, 30/01 16:00 |
David Hume; Robert Kropholler; Martin Palmer and Alessandro Sisto (University of Oxford) |
Junior Geometric Group Theory Seminar  |
SR2 |
| We will discuss (very) recent work by Hensel; Przytycki and Webb, who 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. | |||