{
  "id": "1305.4293",
  "version": "v1",
  "published": "2013-05-18T19:14:01.000Z",
  "updated": "2013-05-18T19:14:01.000Z",
  "title": "What is ... Equivariant Cohomology?",
  "authors": [
    "Loring W. Tu"
  ],
  "comment": "4 pages, 1 figure, AMS-LaTeX",
  "journal": "Notices of the American Mathematical Society 58 (2011), pp. 423--426",
  "categories": [
    "math.AT"
  ],
  "abstract": "When a torus acts on a compact oriented manifold with isolated fixed points, the equivariant localization formula of Atiyah--Bott--Berline--Vergne converts the integral of an equivariantly closed form to a finite sum over the fixed points, providing a powerful tool for computing integrals on a manifold. This article seeks to give an accessible exposition of the equivariant localization formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-18T19:14:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N25",
      "55N91"
    ],
    "keywords": [
      "equivariant cohomology",
      "equivariant localization formula",
      "fixed points",
      "compact oriented manifold",
      "torus acts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Notices Amer. Math. Soc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.4293T"
    }
  }
}