{
  "id": "math/0301083",
  "version": "v1",
  "published": "2003-01-09T15:03:57.000Z",
  "updated": "2003-01-09T15:03:57.000Z",
  "title": "Koszul duality and equivariant cohomology for tori",
  "authors": [
    "Matthias Franz"
  ],
  "comment": "37 pages; to appear in Int. Math. Res. Not",
  "journal": "Int. Math. Res. Not. 42 (2003), 2255-2303",
  "doi": "10.1155/S1073792803206103",
  "categories": [
    "math.AT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-09T15:03:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S37",
      "55N91",
      "55N10",
      "55N33",
      "55U15"
    ],
    "keywords": [
      "equivariant cohomology",
      "koszul duality",
      "universal t-bundle",
      "pull backs",
      "cartan-type model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1083F"
    }
  }
}