Volume 15, issue 1 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Madsen–Weiss for geometrically minded topologists

Yakov Eliashberg, Søren Galatius and Nikolai Mishachev

Geometry & Topology 15 (2011) 411–472
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.

Dedicated to D B Fuchs on the occasion of his 70th birthday

Keywords
Madsen–Weiss theorem, Mumford conjecture, Harer stability theorem
References
Publication
Received: 3 August 2009
Revised: 4 December 2010
Accepted: 5 January 2011
Published: 11 March 2011
Proposed: Tom Mrowka
Seconded: Ralph Cohen, Peter Ozsváth
Authors
Yakov Eliashberg
Department of Mathematics
Stanford University
Building 380
Stanford CA 94305
USA
Søren Galatius
Department of Mathematics
Stanford University
Building 380
Stanford CA 94305
USA
Nikolai Mishachev
Department of Mathematics
Lipetsk State Technical University
30 Moskovskaya St
Lipetsk 398055
Russia