Homological stability for mapping class groups of surfaces
Geometric Topology
2013-01-08 v2 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1006.4476,
title = {Homological stability for mapping class groups of surfaces},
author = {Nathalie Wahl},
journal= {arXiv preprint arXiv:1006.4476},
year = {2013}
}
Comments
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 Handbook of Moduli