{
  "id": "1009.4329",
  "version": "v2",
  "published": "2010-09-22T11:31:32.000Z",
  "updated": "2012-01-26T18:12:36.000Z",
  "title": "Rational Equivariant Rigidity",
  "authors": [
    "David Barnes",
    "Constanze Roitzheim"
  ],
  "comment": "19 Pages, new sections added on S1 rigidity and the relation between intrinsic formality and rigidity",
  "categories": [
    "math.AT"
  ],
  "abstract": "We prove that if G is the circle group or a profinite group, then the all of the homotopical information of the category of rational G-spectra is captured by triangulated structure of the rational G-equivariant stable homotopy category. That is, for G profinite or S1, the rational G-equivariant stable homotopy category is rigid. For the case of profinite groups this rigidity comes from an intrinsic formality statement, so we carefully relate the notion of intrinsic formality of a differential graded algebra to rigidity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-26T18:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P91",
      "55P42"
    ],
    "keywords": [
      "rational equivariant rigidity",
      "rational g-equivariant stable homotopy category",
      "profinite group",
      "intrinsic formality statement",
      "rational g-spectra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.4329B"
    }
  }
}