Different versions of mapping class groups of surfaces

2009/08/16 by Søren Kjærgaard Boldsen, Boldsen, Søren Kjærgaard · 1 citation
Computer Science · Engineering · #57S05 #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.0908.2221

openalex publication_date 2009/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a short, mostly elementary and self-contained proof of the classical result that the groups of diffeomorphisms, homeomorphisms, and homotopy equivalences of a surface have the same group of connected components.

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