Current Developments in Mathematics
- Current Developments in Mathematics
- Volume 2010 (2011), 1-44.
The Arf-Kervaire problem in algebraic topology: Sketch of the proof
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.
Current Developments in Mathematics, Volume 2010 (2011), 1-44.
First available in Project Euclid: 23 April 2012
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Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. The Arf-Kervaire problem in algebraic topology: Sketch of the proof. Current Developments in Mathematics 2010 (2011), 1--44. https://projecteuclid.org/euclid.cdm/1335196632