{
  "id": "math/0104128",
  "version": "v1",
  "published": "2001-04-11T19:53:36.000Z",
  "updated": "2001-04-11T19:53:36.000Z",
  "title": "A Hopf Index Theorem for foliations",
  "authors": [
    "Victor Belfi",
    "Efton Park",
    "Ken Richardson"
  ],
  "comment": "26 pages",
  "journal": "Diff. Geom. Appl. 18 (2003), no. 3, pp. 319-341.",
  "categories": [
    "math.DG",
    "math.SP"
  ],
  "abstract": "We formulate and prove an analog of the Hopf Index Theorem for Riemannian foliations. We compute the basic Euler characteristic of a closed Riemannian manifold as a sum of indices of a non-degenerate basic vector field at critical leaf closures. The primary tool used to establish this result is an adaptation to foliations of the Witten deformation method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-11T19:53:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C12",
      "58G25"
    ],
    "keywords": [
      "hopf index theorem",
      "foliations",
      "non-degenerate basic vector field",
      "basic euler characteristic",
      "witten deformation method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4128B"
    }
  }
}