{
  "id": "0908.1941",
  "version": "v2",
  "published": "2009-08-13T17:34:23.000Z",
  "updated": "2010-12-29T11:11:48.000Z",
  "title": "Calabi-Yau manifolds with $B$-fields",
  "authors": [
    "Frederik Witt"
  ],
  "comment": "19 pages",
  "journal": "Rend.Sem.Mat.Univ.Politec.Torino.66:1-21,2008",
  "categories": [
    "math.DG"
  ],
  "abstract": "In recent work N. Hitchin introduced the concept of \"generalised geometry\". The key feature of generalised structures is that that they can be acted on by both diffeomorphisms and 2-forms, the so-called $B$-fields. In this lecture, we give a basic introduction and explain some of the fundamental ideas. Further, we discuss some examples of generalised geometries starting from the usual notion of a Calabi-Yau manifold, as well as applications to string theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-29T11:11:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Qxx",
      "53Cxx"
    ],
    "keywords": [
      "calabi-yau manifold",
      "generalised geometry",
      "fundamental ideas",
      "basic introduction",
      "usual notion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 828476,
      "adsabs": "2009arXiv0908.1941W"
    }
  }
}