Open Access
VOL. 2010 | 2011 The Arf-Kervaire problem in algebraic topology: Sketch of the proof
Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel

Editor(s) David Jerison, Barry Mazur, Tomasz Mrowka, Wilfried Schmid, Richard P. Stanley, Shing-Tung Yau

Current Developments in Mathematics, 2011: 1-44 (2011)


We provide a sketch of the proof of the non-existence of Kervaire Invariant one manifolds using equivariant homotopy theory. A treatment of the statement and history of the problem can be found in “The Arf-Kervaire problem in algebraic topology: Introduction”. Our goal here is to introduce the reader to the techniques used to prove the result and to familiarize them with the kinds of computations needed.


Published: 1 November 2011
First available in Project Euclid: 23 April 2012

zbMATH: 1249.55005
MathSciNet: MR2906370

Rights: Copyright © 2011 International Press of Boston

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