Uniform hyperbolicity of the curve graph via surgery sequences
Uniform hyperbolicity of the curve graph via surgery sequences
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DOI：
10.2140/agt.2014.14.3325
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发表时间：
2013-02
影响因子：
0.7
通讯作者：
Matt Clay;Kasra Rafi;S. Schleimer
中科院分区：
文献类型：
--
作者：
Matt Clay;Kasra Rafi;S. Schleimer
我们证明曲线图\(C^{(1)}(S)\)是格罗莫夫双曲的，且双曲常数与曲面\(S\)无关。该证明基于汉德尔（Handel）和莫舍（Mosher）对自由分裂复形的双曲性证明，并由希利翁（Hilion）和奥尔贝兹（Horbez）进行了解释。
We prove that the curve graph C (1) (S) is Gromov- hyperbolic with a constant of hyperbolicity independent of the surface S. The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by Hilion and Horbez.