Remote access

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

Powered by MathJax

Multicurves and equivariant cohomology

About this Title

N. P. Strickland, Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, United Kingdom

Publication: Memoirs of the American Mathematical Society
Publication Year: 2011; Volume 213, Number 1001
ISBNs: 978-0-8218-4901-9 (print); 978-1-4704-0618-9 (online)
Published electronically: February 14, 2011
MathSciNet review: 2856125
Keywords:Formal group, equivariant cohomology
MSC: Primary 55N20, 55N22, 55N91, 14L05

View full volume PDF

View other years and numbers:

Table of Contents


  • Chapter 1. Introduction
  • Chapter 2. Multicurves
  • Chapter 3. Differential forms
  • Chapter 4. Equivariant projective spaces
  • Chapter 5. Equivariant orientability
  • Chapter 6. Simple examples
  • Chapter 7. Formal groups from algebraic groups
  • Chapter 8. Equivariant formal groups of product type
  • Chapter 9. Equivariant formal groups over rational rings
  • Chapter 10. Equivariant formal groups of pushout type
  • Chapter 11. Equivariant Morava $E$-theory
  • Chapter 12. A completion theorem
  • Chapter 13. Equivariant formal group laws and complex cobordism
  • Chapter 14. A counterexample
  • Chapter 15. Divisors
  • Chapter 16. Embeddings
  • Chapter 17. Symmetric powers of multicurves
  • Chapter 18. Classification of divisors
  • Chapter 19. Local structure of the scheme of divisors
  • Chapter 20. Generalised homology of Grassmannians
  • Chapter 21. Thom isomorphisms and the projective bundle theorem
  • Chapter 22. Duality
  • Chapter 23. Further theory of infinite Grassmannians
  • Chapter 24. Transfers and the Burnside ring
  • Chapter 25. Generalisations


Let $A$ be a finite abelian group. We set up an algebraic framework for studying $A$-equivariant complex-orientable cohomology theories in terms of a suitable kind of equivariant formal group. We compute the equivariant cohomology of many spaces in these terms, including projective bundles (and associated Gysin maps), Thom spaces, and infinite Grassmannians.

References [Enhancements On Off] (What's this?)