{
  "id": "1608.08140",
  "version": "v1",
  "published": "2016-08-29T16:41:58.000Z",
  "updated": "2016-08-29T16:41:58.000Z",
  "title": "Free loop spaces and dihedral homology",
  "authors": [
    "Massimiliano Ungheretti"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AT",
    "math.QA"
  ],
  "abstract": "We prove an $O(2)$-equivariant version of the Jones isomorphism relating the Borel $O(2)$-equivariant cohomology of the free loop space to the dihedral homology of the cochain algebra. We discuss polynomial forms and a variation of the de Rham isomorphism and use these to do a computation for the 2-sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T16:41:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P50",
      "55P35",
      "16E40",
      "19D55"
    ],
    "keywords": [
      "free loop space",
      "dihedral homology",
      "polynomial forms",
      "cochain algebra",
      "equivariant cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}