Multicurves and equivariant cobordism

Mathematics – Algebraic Topology

Scientific paper

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

Scientific paper

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.

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