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arXiv:math/0301083 [math.AT]AbstractReferencesReviewsResources

Koszul duality and equivariant cohomology for tori

Matthias Franz

Published 2003-01-09Version 1

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.

Comments: 37 pages; to appear in Int. Math. Res. Not
Journal: Int. Math. Res. Not. 42 (2003), 2255-2303
Categories: math.AT
Subjects: 16S37, 55N91, 55N10, 55N33, 55U15
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