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Uniform hyperbolicity
of the curve graph via surgery sequences
Matt Clay, Kasra Rafi and Saul Schleimer |
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Algebraic & Geometric Topology 14 (2014) 3325–3344
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Abstract |
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We prove that the curve graph is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface . The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by Hilion and Horbez. |
Keywords
curve complex, arc complex, Gromov hyperbolic
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Mathematical Subject Classification 2010
Primary: 57M99
Secondary: 30F60
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References |
Publication
Received: 16 July 2013
Revised: 24 April 2014
Accepted: 25 April 2014
Published: 15 January 2015
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Authors |
| Matt Clay | |
| Department of Mathematical
Sciences University of Arkansas SCEN 309 Fayetteville, AR 72701 USA |
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| http://comp.uark.edu/~mattclay | |
| Kasra Rafi | |
| Department of Mathematics University of Toronto Room 6290 40 St. George Street Toronto, Ontario M5S 2E4 Canada |
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| http://www.math.toronto.edu/~rafi/ | |
| Saul Schleimer | |
| Mathematics Institute University of Warwick Zeeman Building Conventry CV4 7AL UK |
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| http://homepages.warwick.ac.uk/~masgar/ | |
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