Multicurves and equivariant cobordism
Neil Strickland
55N20,55N22,55N91,14L05
Department of Pure Mathematics
University of Sheffield
Sheffield S3 7RH
UK
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.