Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem (eBook, PDF)

• Format: PDF

Produktbeschreibung

A complete and definitive account of the authors'' resolution of the Kervaire invariant problem in stable homotopy theory.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 29. Juli 2021
• Englisch
• ISBN-13: 9781108912907
• Artikelnr.: 70910790

Autorenporträt

Michael A. Hill is Professor at the University of California, Los Angeles. He is the author of several papers on algebraic topology and is an editor for journals including Mathematische Zeitschrift and Transactions of the American Mathematical Society.

Inhaltsangabe

1. Introduction
Part I. The Categorical Tool Box: 2. Some Categorical Tools
3. Enriched Category Theory
4. Quillen's Theory of Model Categories
5. Model Category Theory Since Quillen
6. Bousfield Localization
Part II. Setting Up Equivariant Stable Homotopy Theory: 7. Spectra and Stable Homotopy Theory
8. Equivariant Homotopy Theory
9. Orthogonal G-spectra
10. Multiplicative Properties of G-spectra
Part III. Proving the Kervaire Invariant Theorem: 11. The Slice Filtration and Slice Spectral Sequence
12. The Construction and Properties of $MU_{\R}$
13. The Proofs of the Gap, Periodicity and Detection Theorems
References
Table of Notation
Index.