Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves
Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves
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通过双角曲线得出非分离曲线图的均匀双曲性
DOI：
10.1090/proc/14880
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发表时间：
2017
影响因子：
1
通讯作者：
Alexander J. Rasmussen
中科院分区：
文献类型：
--
作者：
Alexander J. Rasmussen
证明了有限型曲面的非分离曲线图是一致双曲的。我们的证明如下证明的曲线图的封闭曲面由于Przytycki-西斯托的一致双曲性，同时引入新的参数使用同源性，以证明某些曲线是nonseparating。正如Aramayona-Valdez所证明的那样，这也证明了具有有限正亏格的任何定向无限型曲面的非分离曲线的图是双曲的。
We show that the graphs of nonseparating curves for oriented finite type surfaces are uniformly hyperbolic. Our proof follows the proof of uniform hyperbolicity of the graphs of curves for closed surfaces due to Przytycki-Sisto, while introducing new arguments using homology to certify that certain curves are nonseparating. As demonstrated by Aramayona-Valdez, this proves also that the graph of nonseparating curves for any oriented infinite type surface with finite positive genus is hyperbolic.
影响因子：
0.7
作者：
Matt Clay;Kasra Rafi;S. Schleimer
通讯作者：
Matt Clay;Kasra Rafi;S. Schleimer
影响因子：
0.7
作者：
Patel, Priyam;Vlamis, Nicholas
通讯作者：
Vlamis, Nicholas