{
  "id": "math/0104196",
  "version": "v1",
  "published": "2001-04-19T17:46:59.000Z",
  "updated": "2001-04-19T17:46:59.000Z",
  "title": "Moment maps, monodromy and mirror manifolds",
  "authors": [
    "R. P. Thomas"
  ],
  "comment": "31 pages, 3 figures; refereed and accepted for publication in \"Symplectic Geometry and mirror symmetry: proceedings of a conference at KIAS, 2000.\"",
  "journal": "In \"Symplectic geometry and mirror symmetry\" , eds K. Fukaya, Y.-G. Oh, K. Ono and G. Tian. World Scientific, 2001, 467-498.",
  "categories": [
    "math.DG",
    "hep-th",
    "math.AG",
    "math.SG"
  ],
  "abstract": "Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamiltonian deformation class of a given Lagrangian submanifold of a Calabi-Yau manifold. It involves a stability condition for graded Lagrangians, and can be proved for the simple case of $T^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-19T17:46:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32"
    ],
    "keywords": [
      "moment maps",
      "mirror manifolds",
      "hamiltonian deformation class",
      "mirror symmetry",
      "chern-simons functionals"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 555674,
      "adsabs": "2001math......4196T"
    }
  }
}