Uniform hyperbolicity for curve graphs of non-orientable surfaces

Erika Kuno

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arXiv · 1504.02937

Uniform hyperbolicity for curve graphs of non-orientable surfaces

Erika Kuno

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Abstract

Hensel-Przytycki-Webb proved that all curve graphs of orientable surfaces are 17-hyperbolic. In this paper, we show that curve graphs of non-orientable surfaces are 17-hyperbolic by applying Hensel-Przytycki-Webb's argument. We also show that arc graphs of non-orientable surfaces are 7-hyperbolic, and arc-curve graphs of (non-)orientable surfaces are 9-hyperbolic.

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BibTeX RIS

Erika Kuno. 2015-04-12. Uniform hyperbolicity for curve graphs of non-orientable surfaces. https://arxiv.org/abs/1504.02937

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