Geodesic
Madsen–Weiss for geometrically minded topologists
Eliashberg, Yakov1 ; Galatius, Søren1 ; Mishachev, Nikolai2
1 Department of Mathematics, Stanford University, Building 380, Stanford CA 94305, USA
2 Department of Mathematics, Lipetsk State Technical University, 30 Moskovskaya St, Lipetsk 398055, Russia
Geometry & topology, Tome 15 (2011) no. 1, pp. 411-472.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2011.15.411
Keywords: Madsen–Weiss theorem, Mumford conjecture, Harer stability theorem

Eliashberg, Yakov 1 ; Galatius, Søren 1 ; Mishachev, Nikolai 2

1 Department of Mathematics, Stanford University, Building 380, Stanford CA 94305, USA
2 Department of Mathematics, Lipetsk State Technical University, 30 Moskovskaya St, Lipetsk 398055, Russia 
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Eliashberg, Yakov; Galatius, Søren; Mishachev, Nikolai. Madsen–Weiss for geometrically minded topologists. Geometry & topology, Tome 15 (2011) no. 1, pp. 411-472. doi : 10.2140/gt.2011.15.411. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.411/

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