Details

Autor(en) / Beteiligte

• Ravenel, Douglas C

Titel

Complex cobordism and stable homotopy groups of spheres [electronic resource]

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Includes index.
• Bibliography: p. 395-406.
• Front Cover; COMPLEX COBORDISM AND STABLE HOMOTOPY GROUPS OF SPHERES; Copyright Page; Contents; Preface; Notations and Commonly Used Abbreviations; Chapter 1. An Introduction to the Homotopy Groups of Spheres; 1. Classical Theorems Old and New; 2. Methods of Computing p(Sn); 3. The Adams-Novikov E2-Term, Formal Group Laws, and the Greek Letter Construction; 4. More Formal Group Law Theory, BP-Theory, Morava's Point of View, and the Chromatic Spectral Sequence; 5. Unstable Homotopy Groups and the EHP Spectral Sequence; Chapter 2. Setting Up the Adams Spectral Sequence
• 1. The Classical Adams Spectral Sequence2. The Adams Spectral Sequence Based on a Generalized Homology Theory; 3. The Smash Product Pairing and the Generalized Connecting Homomorphism; Chapter 3. The Classical Adams Spectral Sequence; 1. The Steenrod Algebra and Some Easy Calculations; 2. The May Spectral Sequence; 3. The Lambda Algebra; 4. Some General Properties of Ext; 5. Survey and Further Reading; Chapter 4. BP-Theory and the Adams-Novikov Spectral Sequence; 1. Quillen's Theorem and the Structure of BP*(BP); 2. A Survey of BP-Theory; 3. Some Calculations in BP*(BP)
• 4. Beginning Calculations with the Adams-Novikov Spectral SequenceChapter 5. The Chromatic Spectral Sequence; 1. The Algebraic Construction; 2. Ext1(BP*/In) and Hopf Invariant One; 3. Ext(M1) and the J-Homomorphism; 4. Ext2 and the Thom Reduction; 5. Periodic Families in Ext2; 6. Elements in Ext3 and Beyond; Chapter 6. Morava Stabilizer Algebras; 1. The Change-of-Rings Isomorphism; 2. The Structure of S(n); 3. The Cohomology of S(n); 4. The Odd Primary Kervaire Invariant Elements; 5. The Spectra T(n); Chapter 7. Computing Stable Homotopy Groups with the Adams - Novikov Spectral Sequence
• 1. The Method of Infinite Descent2. The Complex C1,1; 3. The Homotopy Groups of a Complex with p Cells; 4. The ''Algorithm'' and Computations at p = 3; 5. Computations for p = 5; Appendix 1. Hopf Algebras and Hopf Algebroids; 1. Basic Definitions; 2. Homological Algebra; 3. Some Spectral Sequences; 4. Massey Products; 5. Algebraic Steenrod Operations; Appendix 2. Formal Group Laws; 1. Universal Formal Group Laws and Strict Isomorphisms; 2. Classification and Endomorphism Rings; Appendix 3. Tables of Homotopy Groups of Spheres; References; Index
• Complex cobordism and stable homotopy groups of spheres
• English