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On the nonexistence of elements of Kervaire invariant one

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Author(s): Michael Anthony Hill; Michael J. Hopkins; Douglas C. Ravenel
Year: 2016

Language: English
Commentary: read with http://libgen.is/book/index.php?md5=F7F8E42711528360AAFE344ACFC802D7
Tags: Algebraic Topology ; Differential topology; Kervaire invariant problem

1. Introduction
2. Equivariant stable homotopy theory
3. Mackey functors, homology and homotopy
4. The slice filtration
5. The complex cobordism spectrum
6. The Slice Theorem and the Reduction Theorem
7. The Reduction Theorem
8. The Gap Theorem
9. The Periodicity Theorem
10. The Homotopy Fixed Point Theorem
11. The Detection Theorem
Appendix A. The category of equivariant orthogonal spectra
Appendix B. Homotopy theory of equivariant orthogonal spectra
References