{
  "id": "math/9802100",
  "version": "v1",
  "published": "1998-02-20T14:18:50.000Z",
  "updated": "1998-02-20T14:18:50.000Z",
  "title": "Higher analytic torsion of sphere bundles and continuous cohomology of $Diff(S^{2n-1})$",
  "authors": [
    "Ulrich Bunke"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Using the higher analytic torsion form of Bismut and Lott we construct a characteristic class for smooth sphere bundles. We calculate this class in the case where the sphere bundle comes from a complex vector bundle. Related to these characteristic classes we define nontrivial continuous group cohomology classes of the diffeomorphism group of odd dimensional spheres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-02-20T14:18:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58D05",
      "58G10"
    ],
    "keywords": [
      "sphere bundle",
      "continuous cohomology",
      "higher analytic torsion form",
      "nontrivial continuous group cohomology classes",
      "define nontrivial continuous group cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......2100B"
    }
  }
}