{
  "id": "1602.01558",
  "version": "v1",
  "published": "2016-02-04T05:06:10.000Z",
  "updated": "2016-02-04T05:06:10.000Z",
  "title": "Polynomial of an oriented surface-link diagram via quantum A_2 invariant",
  "authors": [
    "Yewon Joung",
    "Seiichi Kamada",
    "Akio Kawauchi",
    "Sang Youl Lee"
  ],
  "comment": "31 pages, 22 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "It is known that every surface-link can be presented by a marked graph diagram, and such a diagram presentation is unique up to moves called Yoshikawa moves. G. Kuperberg introduced a regular isotopy invariant, called the quantum A_2 invariant, for tangled trivalent graph diagrams. In this paper, a polynomial for a marked graph diagram is defined by use of the quantum A_2 invariant and it is studied how the polynomial changes under Yoshikawa moves. The notion of a ribbon marked graph is introduced to show that this polynomial is useful for an invariant of a ribbon 2-knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-04T05:06:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q45",
      "57M25"
    ],
    "keywords": [
      "oriented surface-link diagram",
      "marked graph diagram",
      "yoshikawa moves",
      "regular isotopy invariant",
      "tangled trivalent graph diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}