Homological stability for mapping class groups of surfaces

Details Homological stability for mapping class groups of surfaces Homological stability for mapping class groups of surfaces

2010-06-23

arxiv.org/abs/1006.4476v2

Mathematics

Geometric Topology

Proof of claim 3 in the spectral sequence argument corrected (see new lemma 2.5, corollaries 2.6 and 2.7). To appear in the Ha

Scientific paper

We give a complete and detailed proof of Harer's stability theorem for the
homology of mapping class groups of surfaces, with the best stability range
presently known. This theorem and its proof have seen several improvements
since Harer's original proof in the mid-80's, and our purpose here is to
assemble these many additions.

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