Homological stability for mapping class groups of surfaces

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.

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

References in corpus (1)

• Stability phenomena in the topology of moduli spaces

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