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arXiv · 0707.2776

A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves

Błażej Szepietowski
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Abstract

We study the action of the mapping class group M(F) on the complex of curves of a non-orientable surface F. We obtain, by using a result of K. S. Brown, a presentation for M(F) defined in terms of the mapping class groups of the complementary surfaces of collections of curves, provided that F is not sporadic, i.e. the complex of curves of F is simply connected. We also compute a finite presentation for the mapping class group of each sporadic surface.

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Błażej Szepietowski. 2007-07-18. A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves. https://arxiv.org/abs/0707.2776

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