paper

Madsen-Weiss for geometrically minded topologists

arXiv:0907.4226 · doi:10.2140/gt.2011.15.411

Abstract

We give an alternative proof of Madsen-Weiss' generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss' original proof, but it is more geometrical and less homotopy theoretical in nature. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem about folded maps.

67 pages, 15 figures

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