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2011 Madsen–Weiss for geometrically minded topologists
Yakov Eliashberg, Søren Galatius, Nikolai Mishachev
Geom. Topol. 15(1): 411-472 (2011). DOI: 10.2140/gt.2011.15.411

Abstract

We give an alternative proof of the Madsen–Weiss generalized Mumford conjecture. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem about folded maps. A technical ingredient in the proof is an h–principle type statement, called the “wrinkling theorem” by the first and third authors [Invent. Math. 130 (1997) 345–369]. Let us stress the point that we are neither proving the wrinkling theorem nor the Harer stability theorem.

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Yakov Eliashberg. Søren Galatius. Nikolai Mishachev. "Madsen–Weiss for geometrically minded topologists." Geom. Topol. 15 (1) 411 - 472, 2011. https://doi.org/10.2140/gt.2011.15.411

Information

Received: 3 August 2009; Revised: 4 December 2010; Accepted: 5 January 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1211.57012
MathSciNet: MR2776850
Digital Object Identifier: 10.2140/gt.2011.15.411

Keywords: Harer stability theorem , Madsen–Weiss theorem , Mumford conjecture

Rights: Copyright © 2011 Mathematical Sciences Publishers

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Vol.15 • No. 1 • 2011
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