Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs
arXiv:1301.5577
Abstract
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.
6 pages, 1 figure
References in corpus (4)
Cited by in corpus (18)
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