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- W4300504009 abstract "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." @default.
- W4300504009 created "2022-10-03" @default.
- W4300504009 creator A5079928047 @default.
- W4300504009 date "2017-07-26" @default.
- W4300504009 modified "2023-09-26" @default.
- W4300504009 title "Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves" @default.
- W4300504009 doi "https://doi.org/10.48550/arxiv.1707.08283" @default.
- W4300504009 hasPublicationYear "2017" @default.
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