{
  "id": "1201.4887",
  "version": "v4",
  "published": "2012-01-23T22:20:55.000Z",
  "updated": "2013-08-05T18:22:07.000Z",
  "title": "Local classification of generalized complex structures",
  "authors": [
    "Michael Bailey"
  ],
  "comment": "29 pages, adapted from Ph.D. thesis; v2 changes: retitled, shortened abstract, corrected typos, changed formatting; v3 changes: equation (2.9) was missing a term, proof of Lemma 6.9 adjusted to accommodate; v4 changes: slight editing, closer to published version",
  "journal": "J. Differential Geom., vol. 95, no. 1 (2013) 1-37",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We give a local classification of generalized complex structures. About a point, a generalized complex structure is equivalent to a product of a symplectic manifold with a holomorphic Poisson manifold. We use a Nash-Moser type argument in the style of Conn's linearization theorem.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-08-05T18:22:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D18"
    ],
    "keywords": [
      "generalized complex structure",
      "local classification",
      "conns linearization theorem",
      "nash-moser type argument",
      "holomorphic poisson manifold"
    ],
    "tags": [
      "dissertation",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4887B"
    }
  }
}