{
  "id": "0910.0358",
  "version": "v4",
  "published": "2009-10-02T09:36:19.000Z",
  "updated": "2014-02-03T20:47:22.000Z",
  "title": "Torus fibrations and localization of index II",
  "authors": [
    "Hajime Fujita",
    "Mikio Furuta",
    "Takahiko Yoshida"
  ],
  "comment": "47 pages, 2 figures. To appear in Communications in Mathematical Physics",
  "journal": "Comm. Math. Phys. 326 (2014), no. 3, 585-633",
  "doi": "10.1007/s00220-014-1890-7",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We give a framework of localization for the index of a Dirac-type operator on an open manifold. Suppose the open manifold has a compact subset whose complement is covered by a family of finitely many open subsets, each of which has a structure of the total space of a torus bundle. Under an acyclic condition we define the index of the Dirac-type operator by using the Witten-type deformation, and show that the index has several properties, such as excision property and a product formula. In particular, we show that the index is localized on the compact set.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-02-03T20:47:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19K56",
      "58J05",
      "53D50"
    ],
    "keywords": [
      "torus fibrations",
      "localization",
      "dirac-type operator",
      "open manifold",
      "compact set"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Mar",
      "volume": 326,
      "number": 3,
      "pages": 585
    },
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.326..585F"
    }
  }
}