{
  "id": "math/0605711",
  "version": "v1",
  "published": "2006-05-28T19:58:56.000Z",
  "updated": "2006-05-28T19:58:56.000Z",
  "title": "Bigraded Equivariant Cohomology of Real Quadrics",
  "authors": [
    "Pedro F. dos Santos",
    "Paulo Lima-Filho"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "We give a complete description of the bigraded Bredon cohomology ring of smooth projective real quadrics, with coefficients in the constant Mackey functor $ \\mathbf{Z} $. These invariants are closely related to the integral motivic cohomology ring, which is not known for these varieties. Some of the results and techniques introduced can be applied to other geometrically cellular real varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-28T19:58:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N91",
      "14P25"
    ],
    "keywords": [
      "bigraded equivariant cohomology",
      "geometrically cellular real varieties",
      "smooth projective real quadrics",
      "constant mackey functor",
      "bredon cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5711D"
    }
  }
}