On the nonexistence of elements of Kervaire invariant one 1st edition by Michael Anthony Hill – Ebook PDF Instant Download/Delivery
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Author: Michael Anthony Hill
We show that the Kervaire invariant one elements 0, E 2+1 2S 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.
On the nonexistence of elements of Kervaire invariant one 1st Table of contents:
1. Introduction
2. Equivariant stable homotopy theor
3. Mackey functors, homology and homotopy 42
4. The slice filtration
5. The complex cobordism spectrum
6. The Slice Theorem and the Reduction Theorem 89
7. The Reduction Theorem
8. The Gap Theorem
9. The Periodicity Theorem
10. The Homotopy Fixed Point Theorem
11. The Detection Theorem
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Tags: nonexistence, elements, Kervaire invariant, Michael Anthony Hill