{
  "id": "math/0409093",
  "version": "v1",
  "published": "2004-09-07T02:15:29.000Z",
  "updated": "2004-09-07T02:15:29.000Z",
  "title": "Generalized geometry and the Hodge decomposition",
  "authors": [
    "Marco Gualtieri"
  ],
  "comment": "Lecture at the String Theory and Geometry workshop, August 2004, Oberwolfach. 7 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this lecture, we review some of the concepts of generalized geometry, as introduced by Hitchin and developed in the speaker's thesis. We also prove a Hodge decomposition for the twisted cohomology of a compact generalized K\\\"ahler manifold, as well as a generalization of the $dd^c$-lemma of K\\\"ahler geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-07T02:15:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53C55",
      "53C80"
    ],
    "keywords": [
      "hodge decomposition",
      "generalized geometry",
      "speakers thesis",
      "twisted cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9093G"
    }
  }
}