{
  "id": "1602.09035",
  "version": "v1",
  "published": "2016-02-29T16:38:31.000Z",
  "updated": "2016-02-29T16:38:31.000Z",
  "title": "Free loop space and the cyclic bar construction",
  "authors": [
    "Massimiliano Ungheretti"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Using the $E_\\infty-$structure on singular cochains, we construct a homotopy coherent map from the cyclic bar construction of the differential graded algebra of cochains on a space to a model for the cochains on its free loop space. This fills a gap in the paper \"Cyclic homology and equivariant homology\" by John D.S. Jones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-29T16:38:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P50",
      "55P35",
      "16E40",
      "19D55",
      "55S20"
    ],
    "keywords": [
      "cyclic bar construction",
      "free loop space",
      "homotopy coherent map",
      "singular cochains",
      "cyclic homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160209035U"
    }
  }
}