Koszul duality and equivariant cohomology for tori

Details Koszul duality and equivariant cohomology for tori Koszul duality and equivariant cohomology for tori

2003-01-09

arxiv.org/abs/math/0301083v1

Int. Math. Res. Not. 42 (2003), 2255-2303

Mathematics

Algebraic Topology

37 pages; to appear in Int. Math. Res. Not

Scientific paper

10.1155/S1073792803206103

Let T be a torus. We show that Koszul duality can be used to compute the equivariant cohomology of topological T-spaces as well as the cohomology of pull backs of the universal T-bundle. The new features are that no further assumptions about the spaces are made and that the coefficient ring may be arbitrary. This gives in particular a Cartan-type model for the equivariant cohomology of a T-space with arbitrary coefficients. Our method works for intersection homology as well.

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