{
  "id": "math/0407014",
  "version": "v4",
  "published": "2004-07-01T12:46:28.000Z",
  "updated": "2005-03-07T12:59:01.000Z",
  "title": "Frobenius Rational Loop Algebra",
  "authors": [
    "David Chataur",
    "Jean-Claude Thomas"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "Recently R. Cohen and V. Godin have proved that the homology of the free loop space of a closed oriented manifold with coefficients in a field has the structure of a Frobenius algebra without counit. In this short note we prove that when the characteristic of the field is zero and when the manifold is 1-connected the algebraic structure depends only on the rational homotopy type of the manifold. We build an algebraic model and use it to do some computations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2005-03-07T12:59:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P35",
      "54N45",
      "55N33",
      "17A65",
      "81T30",
      "17B55"
    ],
    "keywords": [
      "frobenius rational loop algebra",
      "rational homotopy type",
      "free loop space",
      "algebraic structure depends",
      "algebraic model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7014C"
    }
  }
}