Uniform hyperbolicity for curve graphs of non-orientable surfaces

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.

20 pages, 11 figures

References in corpus (3)

• Uniform hyperbolicity of the curve graph via surgery sequences
• Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs
• Subgroups generated by two Dehn twists on a nonorientable surface