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arXiv · 1103.5223

A short exposition of the Madsen-Weiss theorem

Allen Hatcher
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Abstract

This is an exposition of a proof of the Madsen-Weiss Theorem, which asserts that the homology of mapping class groups of surfaces, in a stable dimension range, is isomorphic to the homology of a certain infinite loopspace that arises naturally when one applies the "scanning method". The proof given here utilizes simplifications introduced by Galatius and Randal-Williams.

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Allen Hatcher. 2014-02-08. A short exposition of the Madsen-Weiss theorem. https://arxiv.org/abs/1103.5223

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