{
  "id": "math/0411594",
  "version": "v1",
  "published": "2004-11-26T13:49:35.000Z",
  "updated": "2004-11-26T13:49:35.000Z",
  "title": "A splitting result for the free loop space of spheres and projective spaces",
  "authors": [
    "Marcel Bokstedt",
    "Iver Ottosen"
  ],
  "comment": "33 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let X be a 1-connected compact space such that the algebra H*(X;Z/2) is generated by one single element. We compute the cohomology of the free loop space H*(LX;Z/2) including the Steenrod algebra action. When X is a projective space CP^n, HP^n, the Cayley projective plane CaP^2 or a sphere S^m we obtain a splitting result for integral and mod two cohomology of the suspension spectrum of LX_+. The splitting is in terms of the suspension spectrum of X_+ and the Thom spaces of the q-fold Whitney sums of the tangent bundle over X for non negative integers q.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-26T13:49:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P35",
      "18G50",
      "55S10"
    ],
    "keywords": [
      "free loop space",
      "splitting result",
      "projective space",
      "suspension spectrum",
      "steenrod algebra action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11594B"
    }
  }
}