Arc and curve graphs for infinite-type surfaces
نویسندگان
چکیده
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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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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13608