A short exposition of the Madsen-Weiss theorem

Details A short exposition of the Madsen-Weiss theorem A short exposition of the Madsen-Weiss theorem

2011-03-27

arxiv.org/abs/1103.5223v1

Mathematics

Geometric Topology

31 pages

Scientific paper

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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