{
  "id": "1602.00565",
  "version": "v1",
  "published": "2016-02-01T15:33:54.000Z",
  "updated": "2016-02-01T15:33:54.000Z",
  "title": "Elliptic boundary value problem on non-compact $G$-manifolds",
  "authors": [
    "Xiangsheng Wang"
  ],
  "comment": "31 pages",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "In this paper, an equality between the Hochs-Mathai type index and the Atiyah-Patodi-Singer type index is established when the manifold and the group action are both non-compact, which generalizes a result of Ma and Zhang for compact group actions. As a technical preparation, a problem concerning the Fredholm property of the global elliptic boundary value problems of the Atiyah-Patodi-Singer type on a non-compact manifold is studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-01T15:33:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J32",
      "58F06",
      "58J20",
      "53D50",
      "53C27"
    ],
    "keywords": [
      "non-compact",
      "global elliptic boundary value problems",
      "hochs-mathai type index",
      "atiyah-patodi-singer type index",
      "compact group actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160200565W"
    }
  }
}