{
  "id": "math/9806109",
  "version": "v1",
  "published": "1998-06-19T20:29:37.000Z",
  "updated": "1998-06-19T20:29:37.000Z",
  "title": "Hopf algebras, cyclic cohomology and the transverse index theory",
  "authors": [
    "Alain Connes",
    "Henri Moscovici"
  ],
  "comment": "54 pages",
  "doi": "10.1007/s002200050477",
  "categories": [
    "math.DG"
  ],
  "abstract": "We present the solution of a longstanding internal problem of noncommutative geometry, namely the computation of the index of a transversally elliptic operator on an arbitrary foliation. The new and crucial ingredient is a certain Hopf algebra associated to the transverse frame bundle. Its cyclic cohomology is defined and shown to be canonically isomorphic to the Gelfand-Fuks cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-19T20:29:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58G12"
    ],
    "keywords": [
      "transverse index theory",
      "cyclic cohomology",
      "hopf algebra",
      "transverse frame bundle",
      "gelfand-fuks cohomology"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}