{
  "id": "1607.08136",
  "version": "v1",
  "published": "2016-07-27T15:00:38.000Z",
  "updated": "2016-07-27T15:00:38.000Z",
  "title": "Hopf Algebra of Topological Recursion",
  "authors": [
    "Xiang-Mao Ding",
    "Yuping Li",
    "Lingxian Meng"
  ],
  "comment": "26 pages, many figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that there exists a Hopf algebraic structure for the topological recursion on arbitrary algebraic curves proposed by B. Eynard and N. Orantin, which include the one-loop equations of various matrix integrals as special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-27T15:00:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16T05",
      "14H81"
    ],
    "keywords": [
      "topological recursion",
      "arbitrary algebraic curves",
      "hopf algebraic structure",
      "one-loop equations",
      "matrix integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}