The end of the curve complex

2006/08/21 by Saul Schleimer, Schleimer, Saul · 1 citation
Computer Science · Mathematics · #30F99 #57M99 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:30F99 #msc:57M99

paper · pdf · doi:10.48550/arxiv.math/0608505

8 pages, no figures

arxiv created 2006/08/21 · openalex publication_date 2006/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose that S is a surface of genus two or more, with exactly one boundary component. Then the curve complex of S has one end.

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• Almost filling laminations and the connectivity of ending lamination space
• Shadows of mapping class groups: capturing convex cocompactness

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