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arxiv: 0907.4226 · v2 · pith:PK6XWZP2new · submitted 2009-07-24 · 🧮 math.GT · math.AT

Madsen-Weiss for geometrically minded topologists

classification 🧮 math.GT math.AT
keywords madsen-weissproofalternativeargumentconjecturefoldedformulategeneralized
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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.

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