{
  "id": "math/0011180",
  "version": "v1",
  "published": "2000-11-22T17:18:36.000Z",
  "updated": "2000-11-22T17:18:36.000Z",
  "title": "On the Topology of Fibrations with Section and Free Loop Spaces",
  "authors": [
    "Sadok Kallel",
    "Denis Sjerve"
  ],
  "comment": "23pages (to appear in Proc. London Math. Soc.)",
  "categories": [
    "math.AT"
  ],
  "abstract": "We relate the brace products of a fibration with section to the differentials in its serre spectral sequence. In the particular case of free loop fibrations, we establish a link between these differentials and browder operations in the fiber. Applications and several calculations (for the particular case of spheres and wedges of spheres) are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-22T17:18:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P35",
      "55Q15",
      "55R05",
      "55R20"
    ],
    "keywords": [
      "free loop spaces",
      "serre spectral sequence",
      "free loop fibrations",
      "differentials",
      "brace products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11180K"
    }
  }
}