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

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.

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

Cited by in corpus (7)

• Presentations for the punctured mapping class groups in terms of Artin groups
• An elementary approach to the mapping class group of a surface
• Torsion Elements in the Mapping Class Group of a Surface
• Cohomology of moduli spaces
• Geometric subgroups of mapping class groups
• Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface
• The complex of pant decompositions of a surface