{
  "id": "1501.04989",
  "version": "v1",
  "published": "2015-01-20T21:39:59.000Z",
  "updated": "2015-01-20T21:39:59.000Z",
  "title": "Higgs bundles and diffeomorphism groups",
  "authors": [
    "Nigel Hitchin"
  ],
  "comment": "Based on a talk given at the JDG Conference, Harvard, September 13-14 2014",
  "categories": [
    "math.DG"
  ],
  "abstract": "By studying the Higgs bundle equations with the gauge group replaced by the group of symplectic diffeomorphisms of the 2-sphere we encounter the notion of a folded hyperkaehler 4-manifold and conjecture the existence of a family of such metrics parametrised by an infinite-dimensional analogue of Teichmueller space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-20T21:39:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C26"
    ],
    "keywords": [
      "diffeomorphism groups",
      "higgs bundle equations",
      "teichmueller space",
      "infinite-dimensional analogue",
      "symplectic diffeomorphisms"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150104989H"
    }
  }
}