{
  "id": "1410.3271",
  "version": "v1",
  "published": "2014-10-13T12:00:21.000Z",
  "updated": "2014-10-13T12:00:21.000Z",
  "title": "New examples of compact special Lagrangian submanifolds embedded in hyper-Kähler manifolds",
  "authors": [
    "Kota Hattori"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We construct smooth families of compact special Lagrangian submanifolds embedded in some toric hyper-K\\\"ahler manifolds, which never become holomorphic Lagrangian submanifolds via any hyper-K\\\"ahler rotations. These families converge to special Lagrangian immersions with self-intersection points in the sense of current. To construct them, we apply the desingularization method developed by Joyce.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-13T12:00:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact special lagrangian submanifolds",
      "hyper-kähler manifolds",
      "holomorphic lagrangian submanifolds",
      "construct smooth families",
      "special lagrangian immersions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.3271H"
    }
  }
}