Injective Simplicial Maps of the Complexes of Curves of Nonorientable Surfaces

2012/03/19 by Elmas Irmak, Irmak, Elmas
Mathematics · #20F38 #57M99 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1203.4271

openalex publication_date 2012/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let N be a compact, connected, nonorientable surface of genus g with n boundary components, and C(N) be the complex of curves of N. Suppose that g + n ≤ 3 or g + n ≥ 5. If λ: C(N) → C(N) is an injective simplicial map, then λ is induced by a homeomorphism of N.

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