Automorphisms of complexes of curves on odd genus nonorientable surfaces

2005/12/15 by Ferihe Atalan-Ozan, Atalan-Ozan, Ferihe · 1 citation
Mathematics · #20F38 (Secondary) #57M99 (Primary) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0512368

openalex publication_date 2005/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let N be a connected nonorientable surface of genus g with n punctures. Suppose that g is odd and g+n \geqslant 6. We prove that the automorphism group of the complex of curves of N is isomorphic to the mapping class group \mathcal M_N of N.

Citations

• Complexes of Nonseparating Curves and Mapping Class Groups

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