Complex Cobordism and Stable Homotopy Groups of Spheres Book

	List of Figures
	List of Tables
	Preface to the Second Edition
	Preface to the First Edition
	Commonly Used Notations
Ch. 1	An Introduction to the Homotopy Groups of Spheres	1
1	Classical Theorems Old and New	2
2	Methods of Computing [pi][subscript *](S[superscript n])	5
3	The Adams-Novikov E[subscript 2]-term, Formal Group Laws, and the Greek Letter Construction	12
4	More Formal Group Law Theory, Morava's Point of View, and the Chromatic Spectral Sequence	19
5	Unstable Homotopy Groups and the EHP Spectral Sequence	24
Ch. 2	Setting up the Adams Spectral Sequence	41
1	The Classical Adams Spectral Sequence	41
2	The Adams Spectral Sequence Based on a Generalized Homology Theory	49
3	The Smash Product Pairing and the Generalized Connecting Homomorphism	53
Ch. 3	The Classical Adams Spectral Sequence	59
1	The Steenrod Algebra and Some Easy Calculations	59
2	The May Spectral Sequence	67
3	The Lambda Algebra	74
4	Some General Properties of Ext	85
5	Survey and Further Reading	94
Ch. 4	BP-Theory and the Adams-Novikov Spectral Sequence	103
1	Quillen's Theorem and the Structure of BP[subscript *](BP)	103
2	A Survey of BP-Theory	111
3	Some Calculations in BP[subscript *](BP)	117
4	Beginning Calculations with the Adams-Novikov Spectral Sequence	130
Ch. 5	The Chromatic Spectral Sequence	147
1	The Algebraic Construction	148
2	Ext[superscript 1] (BP[subscript *]/I[subscript n]) and Hopf Invariant One	158
3	Ext(M[superscript 1]) and the J-Homomorphism	165
4	Ext[superscript 2] and the Thom Reduction	172
5	Periodic Families in Ext[superscript 2]	178
6	Elements in Ext[superscript 3] and Beyond	183
Ch. 6	Morava Stabilizer Algebras	187
1	The Change-of-Rings Isomorphism	188
2	The Structure of [Sigma](n)	192
3	The Cohomology of [Sigma](n)	192
4	The Odd Primary Kervaire Invariant Elements	212
5	The Spectra T(m)	219
Ch. 7	Computing Stable Homotype Groups with the Adams-Novikov Spectral Sequence	225
1	The method of infinite descent	227
2	The comodule E[subscript m+1][superscript 2]	238
3	The homotype of T(0)[subscript (2)] and T(0)[subscript (1)]	249
4	The proof of Theorem 7.3.15	261
5	Computing [pi][subscript *](S[superscript 0]) for p = 3	277
6	Computations for p = 5	282
App. A1	Hopf Algebras and Hopf Algebroids	299
App. A2	Formal Group Laws	339
App. A3	Tables of Homotype Groups of Spheres	361
	Bibliography	377
	Index	391