{
  "id": "math/0309301",
  "version": "v2",
  "published": "2003-09-18T14:49:47.000Z",
  "updated": "2003-09-23T14:54:17.000Z",
  "title": "Manifolds with an SU(2)-action on the tangent bundle",
  "authors": [
    "Roger Bielawski"
  ],
  "comment": "23 pages",
  "categories": [
    "math.DG",
    "hep-th"
  ],
  "abstract": "We study manifolds arising as spaces of sections of complex manifolds fibering over the projective line with normal bundle of each section isomorphic to several copies of O(k). Such manifolds provide a natural setting for certain integrable systems, \"monopoles\", which comprise the Bogomolny hierarchy and the self-dual hierarchy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-23T14:54:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tangent bundle",
      "study manifolds",
      "bogomolny hierarchy",
      "section isomorphic",
      "self-dual hierarchy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 628894,
      "adsabs": "2003math......9301B"
    }
  }
}