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

B\lażej Szepietowski

Published 2007-07-18Version 1

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.

Comments: 45 pages, accepted for publication in Osaka J. Math
Journal: Osaka J. Math. 45 (2008), 283-326
Categories: math.GT
Subjects: 57N05, 20F05, 20F38
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