{
  "id": "1712.05475",
  "version": "v1",
  "published": "2017-12-14T23:33:45.000Z",
  "updated": "2017-12-14T23:33:45.000Z",
  "title": "The universal $\\mathfrak{sl}_2$ weight system and the Kreweras triangle",
  "authors": [
    "Ange Bigeni"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO",
    "math.GT"
  ],
  "abstract": "The theory of finite order knot invariants applied to the Lie algebra $\\mathfrak{sl}_2$ provides a weight system $\\varphi_{\\mathfrak{sl}_2}$ which maps the chord diagrams to polynomials in a single variable with integer coefficients. In this paper, following this weight system, we relate the weights of specific chord diagrams to the Kreweras triangle, known to refine the normalized median Genocchi numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-14T23:33:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weight system",
      "kreweras triangle",
      "finite order knot invariants",
      "normalized median genocchi numbers",
      "specific chord diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}