Koszul duality and equivariant cohomology for tori

dc.creatorFranz, Matthias
dc.date2003-01-09
dc.date.accessioned2026-07-07T08:37:24Z
dc.date.available2026-07-07T08:37:24Z
dc.descriptionLet 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.
dc.description37 pages; to appear in Int. Math. Res. Not
dc.identifierhttps://arxiv.org/abs/math/0301083
dc.identifierhttp://arxiv.org/abs/math/0301083
dc.identifierInt. Math. Res. Not. 42 (2003), 2255-2303
dc.identifierdoi:10.1155/S1073792803206103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140388
dc.subjectAlgebraic Topology
dc.subject16S37, 55N91; 55N10, 55N33, 55U15
dc.titleKoszul duality and equivariant cohomology for tori
dc.typetext

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