English

Multicurves and equivariant cobordism

Algebraic Topology 2008-11-14 v2

Abstract

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 groups. We compute the equivariant cohomology of many spaces in these terms, including projective bundles (and associated Gysin maps), Thom spaces, and infinite Grassmannians.

Keywords

Cite

@article{arxiv.math/0211058,
  title  = {Multicurves and equivariant cobordism},
  author = {Neil P. Strickland},
  journal= {arXiv preprint arXiv:math/0211058},
  year   = {2008}
}

Comments

73 pages. This version is generally reorganised with numerous expository improvements, and a new section about transfers and the Burnside ring