{
  "id": "1707.01148",
  "version": "v1",
  "published": "2017-07-04T20:40:09.000Z",
  "updated": "2017-07-04T20:40:09.000Z",
  "title": "Biquasile Colorings of Oriented Surface-Links",
  "authors": [
    "Jieon Kim",
    "Sam Nelson"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We introduce colorings of oriented surface-links by biquasiles using marked graph diagrams. We use these colorings to define counting invariants and Boltzmann enhancements of the biquasile counting invariants for oriented surface-links. We provide examples to show that the invariants can distinguish both closed surface-links and cobordisms and are sensitive to orientation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-04T20:40:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "oriented surface-links",
      "biquasile colorings",
      "define counting invariants",
      "boltzmann enhancements",
      "marked graph diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}