A finite presentation of the mapping class group of an oriented surface

1998/11/27 by Sylvain Gervais, Gervais, Sylvain · 1 citation
Computer Science · Mathematics · #20F05 #57M99 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT #msc:20F05 #msc:57M99 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/9811162

22 pages, LaTeX2e. See also http://www.math.sciences.univ-nantes.fr/~gervais/

arxiv created 1998/11/27 · openalex publication_date 1998/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a finite presentation of the mapping class group of an oriented (possibly bounded) surface of genus greater or equal than 1, considering Dehn twists on a very simple set of curves.

Citations

• Die Gruppe der Abbildungsklassen: Das arithmetische Feld auf Flächen
• A finite set of generators for the homeotopy group of a 2-manifold

Cited by

• Geometric subgroups of mapping class groups

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