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Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface

Susumu Hirose
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Abstract

S. Gervais gave a finite presentation for the mapping class group of a surface (math.GT/9811162). We show this presentation without using Wajnryb's simple presentation. We use a complex of curves defined by Harvey, in place of Hatcher and Thurston's complex.

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Susumu Hirose. 2000-08-24. Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface. https://arxiv.org/abs/math/0008185

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