{
  "id": "0710.2302",
  "version": "v2",
  "published": "2007-10-11T17:44:45.000Z",
  "updated": "2007-10-16T19:52:08.000Z",
  "title": "Freeness of equivariant cohomology and mutants of compactified representations",
  "authors": [
    "Matthias Franz",
    "Volker Puppe"
  ],
  "comment": "11 pages; more details on the smooth structure of the mutants; other, minor changes",
  "journal": "pp. 87-98 in: M. Harada et al. (eds.), Toric Topology (Osaka, 2006), Contemp. Math. 460, 2008",
  "doi": "10.1090/conm/460/09012",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We survey generalisations of the Chang-Skjelbred Lemma for integral coefficients. Moreover, we construct examples of manifolds with actions of tori of rank > 2 whose equivariant cohomology is torsion-free, but not free. This answers a question of Allday's. The \"mutants\" we construct are obtained from compactified representations and involve Hopf bundles in a crucial way.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-16T19:52:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N91",
      "55M35",
      "57S25"
    ],
    "keywords": [
      "equivariant cohomology",
      "compactified representations",
      "crucial way",
      "survey generalisations",
      "hopf bundles"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.2302F"
    }
  }
}