{
  "id": "1902.07061",
  "version": "v1",
  "published": "2019-02-19T14:08:19.000Z",
  "updated": "2019-02-19T14:08:19.000Z",
  "title": "On the 2-head of the colored Jones polynomial for pretzel knots",
  "authors": [
    "Paul Beirne"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GT",
    "math.NT",
    "math.QA"
  ],
  "abstract": "In this paper, we prove a formula for the 2-head of the colored Jones polynomial for an infinite family of pretzel knots. Following Hall, the proof utilizes skein-theoretic techniques and a careful examination of higher order stability properties for coefficients of the colored Jones polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-19T14:08:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "colored jones polynomial",
      "pretzel knots",
      "higher order stability properties",
      "proof utilizes skein-theoretic techniques",
      "examination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}