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VOL. 2009 | 2010 The Arf-Kervaire Invariant Problem in Algebraic Topology: Introduction
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


This paper gives the history and background of one of the oldest problems in algebraic topology, along with a short summary of our solution to it and a description of some of the tools we use. More details of the proof are provided in our second paper in this volume, The Arf-Kervaire invariant problem in algebraic topology: Sketch of the proof. A rigorous account can be found in our preprint The non-existence of elements of Kervaire invariant one on the arXiv and on the third author’s home page. The latter also has numerous links to related papers and talks we have given on the subject since announcing our result in April, 2009.


Published: 1 November 2010
First available in Project Euclid: 23 April 2012

zbMATH: 1223.55009
MathSciNet: MR2757358

Rights: Copyright © 2010 International Press of Boston


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