Memoirs of the American Mathematical Society
2011;
117 pp;
Softcover
MSC: Primary 55; 14;
Print ISBN: 978-0-8218-4901-9
Product Code: MEMO/213/1001
List Price: $74.00
AMS Member Price: $44.40
MAA Member Price: $66.60
Electronic ISBN: 978-1-4704-0618-9
Product Code: MEMO/213/1001.E
List Price: $74.00
AMS Member Price: $44.40
MAA Member Price: $66.60
Multicurves and Equivariant Cohomology
Share this pageN. P. Strickland
Let \(A\) be a finite abelian group. The author sets up an algebraic framework for studying \(A\)-equivariant complex-orientable cohomology theories in terms of a suitable kind of equivariant formal group. He computes the equivariant cohomology of many spaces in these terms, including projective bundles (and associated Gysin maps), Thom spaces, and infinite Grassmannians.
Table of Contents
Table of Contents
Multicurves and Equivariant Cohomology
- Chapter 1. Introduction 18 free
- Chapter 2. Multicurves 512 free
- Chapter 3. Differential forms 1118
- Chapter 4. Equivariant projective spaces 1320
- Chapter 5. Equivariant orientability 1926
- Chapter 6. Simple examples 2330
- Chapter 7. Formal groups from algebraic groups 2532
- Chapter 8. Equivariant formal groups of product type 2734
- Chapter 9. Equivariant formal groups over rational rings 3138
- Chapter 10. Equivariant formal groups of pushout type 3744
- Chapter 11. Equivariant Morava E-theory 4148
- Chapter 12. A completion theorem 4552
- Chapter 13. Equivariant formal group laws and complex cobordism 4754
- Chapter 14. A counterexample 4956
- Chapter 15. Divisors 5158
- Chapter 16. Embeddings 5562
- Chapter 17. Symmetric powers of multicurves 5764
- Chapter 18. Classification of divisors 6370
- Chapter 19. Local structure of the scheme of divisors 6774
- Chapter 20. Generalised homology of Grassmannians 7178
- Chapter 21. Thom isomorphisms and the projective bundle theorem 7784
- Chapter 22. Duality 8390
- Chapter 23. Further theory of infinite Grassmannians 97104
- Chapter 24. Transfers and the Burnside ring 103110
- Chapter 25. Generalisations 113120
- Bibliography 115122
- Index 117124 free