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Koszul duality and equivariant cohomology for tori

Matthias Franz
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Abstract

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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Matthias Franz. 2003-01-09. Koszul duality and equivariant cohomology for tori. https://doi.org/10.1155/s1073792803206103

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