{
  "id": "1310.3766",
  "version": "v1",
  "published": "2013-10-14T18:14:42.000Z",
  "updated": "2013-10-14T18:14:42.000Z",
  "title": "(1,1)-forms acting on Spinors on Kähler Surfaces",
  "authors": [
    "Rafael F. Leão"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "It is known that, for Dirac operators on Riemann surfaces twisted by line bundles with Hermitian-Einstein connections, it is possible to obtain estimates for the first eigenvalue in terms of the topology of the twisting bundle \\cite{JL2}. Attempts to generalize topological estimates for higher rank bundles or higher dimensional manifolds have been so far unsuccessful. In this work we construct a class of examples which indicates one problem that arises on such attempts to derive topological estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-14T18:14:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58Jxx"
    ],
    "keywords": [
      "kähler surfaces",
      "higher rank bundles",
      "higher dimensional manifolds",
      "first eigenvalue",
      "dirac operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3766L"
    }
  }
}