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On the nonexistence of elements of Kervaire invariant one
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Journal Article
On the nonexistence of elements of Kervaire invariant one
2016
Overview
We show that the Kervaire invariant one elements $\\theta _j \\epsilon \\pi _{2^{j+1}-2}S^0$ exist only for j ≤ 6. By Browder's Theorem, this means that smooth framed manifolds of Kervaire invariant one exist only in dimensions 2, 6, 14, 30, 62, and possibly 126. Except for dimension 126 this resolves a longstanding problem in algebraic topology.
Publisher
Department of Mathematics at Princeton University
Subject
