{
  "id": "1504.03825",
  "version": "v1",
  "published": "2015-04-15T09:00:32.000Z",
  "updated": "2015-04-15T09:00:32.000Z",
  "title": "On an Orbifold Hamiltonian Structure for the First Painleve Equation",
  "authors": [
    "Katsunori Iwasaki",
    "Shu Okada"
  ],
  "comment": "13 pages, 9 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "For the first Painleve equation we establish an orbifold polynomial Hamiltonian structure on the fibration of Okamoto's spaces and show that this geometric structure uniquely recovers the original Painleve equation, thereby solving a problem posed by K. Takano.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-15T09:00:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E17",
      "34M55"
    ],
    "keywords": [
      "first painleve equation",
      "orbifold hamiltonian structure",
      "orbifold polynomial hamiltonian structure",
      "original painleve equation",
      "okamotos spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150403825I"
    }
  }
}