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arXiv:math/0406278 [math.AT]AbstractReferencesReviewsResources

From mapping class groups to automorphism groups of free groups

Nathalie Wahl

Published 2004-06-14, updated 2005-01-27Version 2

We show that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups, induces an infinite loop map on the classifying spaces of the stable groups after plus construction. The proof uses automorphisms of free groups with boundaries which play the role of mapping class groups of surfaces with several boundary components.

Comments: to appear in J. Lond. Math. Soc
Journal: J. London Math. Soc. (2) 72 (2005) no. 2, 510-524
Categories: math.AT, math.GT
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