A note on the curve complex of the 3-holed projective plane

2019/07/21 by Szepietowski, Błażej · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1907.09042

Abstract

Let S be a projective plane with 3 holes. We prove that there is an exhaustion of the curve complex C(S) by a sequence of finite rigid sets. As a corollary, we obtain that the group of simplicial automorphisms of C(S) is isomorphic to the mapping class group Mod(S). We also prove that C(S) is quasi-isometric to a simplicial tree.

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• Automorphisms of the pants graph of a nonorientable surface

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