{
  "id": "math/0610723",
  "version": "v1",
  "published": "2006-10-24T11:44:05.000Z",
  "updated": "2006-10-24T11:44:05.000Z",
  "title": "Fibered cusp versus $d$- index theory",
  "authors": [
    "Sergiu Moroianu"
  ],
  "comment": "8 pages, to appear in Rendiconti Semin. Mat. Parma",
  "journal": "Rend. Semin. Mat. Padova 117 (2007), 193-203",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove that the indices of fibered-cusp and $d$-Dirac operators on a spin manifold with fibered boundary coincide if the associated family of Dirac operators on the fibers of the boundary is invertible. This answers a question raised by Piazza. Under this invertibility assumption, our method yields an index formula for the Dirac operator of horn-cone and of fibered horn metrics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-24T11:44:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J20"
    ],
    "keywords": [
      "index theory",
      "fibered cusp",
      "dirac operator",
      "spin manifold",
      "invertibility assumption"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}