{
  "id": "1503.02347",
  "version": "v1",
  "published": "2015-03-09T00:25:05.000Z",
  "updated": "2015-03-09T00:25:05.000Z",
  "title": "Hopf algebra $\\mathcal{K}_n$ and universal Chern classes",
  "authors": [
    "Henri Moscovici",
    "Bahram Rangipour"
  ],
  "comment": "42 pages",
  "categories": [
    "math.DG",
    "math.QA"
  ],
  "abstract": "We construct a variant $\\mathcal{K}_n$ of the Hopf algebra $\\mathcal{H}_n$, which acts directly on the noncommutative model for the generic space of leaves rather than on its frame bundle. We prove that the Hopf cyclic cohomology of $\\mathcal{K}_n$ is isomorphic to that of the pair $(\\mathcal{H}_n, {\\mathop{\\rm GL}_n})$ and thus consists of the universal Hopf cyclic classes. We then realize these classes in terms of geometric cocycles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-09T00:25:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E40",
      "11F11",
      "16W30",
      "58J22"
    ],
    "keywords": [
      "universal chern classes",
      "hopf algebra",
      "universal hopf cyclic classes",
      "hopf cyclic cohomology",
      "generic space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}