{
  "id": "math/0305395",
  "version": "v3",
  "published": "2003-05-28T11:46:55.000Z",
  "updated": "2004-07-13T09:26:18.000Z",
  "title": "Cusp geometry and the cobordism invariance of the index",
  "authors": [
    "Sergiu Moroianu"
  ],
  "comment": "17 pages, abridged version, to appear in Adv. Math",
  "journal": "Adv. Math. 194 (2005), 504-519",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-07-13T09:26:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J20",
      "58J42"
    ],
    "keywords": [
      "cobordism invariance",
      "cusp geometry",
      "symmetric cusp differential operator",
      "cusp pseudodifferential operators",
      "boundary implies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5395M"
    }
  }
}