{
  "id": "2207.00992",
  "version": "v1",
  "published": "2022-07-03T09:36:45.000Z",
  "updated": "2022-07-03T09:36:45.000Z",
  "title": "On the Potential Function of the Colored Jones Polynomial with Arbitrary Colors",
  "authors": [
    "Shun Sawabe"
  ],
  "comment": "21 pages, 18 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider the potential function of the colored Jones polynomial for a link with arbitrary colors and obtain the cone-manifold structure for the link complement. In addition, we establish a relationship between a saddle point equation and hyperbolicity of the link complement. This provides evidence for the Chen-Yang conjecture on the link complement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-03T09:36:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57M50"
    ],
    "keywords": [
      "colored jones polynomial",
      "arbitrary colors",
      "potential function",
      "link complement",
      "saddle point equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}