{
  "id": "1409.1344",
  "version": "v1",
  "published": "2014-09-04T07:21:14.000Z",
  "updated": "2014-09-04T07:21:14.000Z",
  "title": "Cobordism invariance and the well-definedness of local index",
  "authors": [
    "Hajime Fujita"
  ],
  "comment": "16 pages, 1 figure",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the previous papers, Furuta, Yoshida and the author gave a definition of analytic index theory of Dirac-type operator on open manifolds by making use of some geometric structure on an open covering of the end of the open manifold and a perturbation of the Dirac-type operator. In this paper we show the cobordism invariance of the index, and as an application we show the well-definedness of the index with respect to the choice of the open covering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T07:21:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19K56",
      "58G20"
    ],
    "keywords": [
      "cobordism invariance",
      "local index",
      "well-definedness",
      "dirac-type operator",
      "open manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1344F"
    }
  }
}