{
  "id": "1111.0332",
  "version": "v2",
  "published": "2011-11-01T22:40:09.000Z",
  "updated": "2012-09-26T02:04:03.000Z",
  "title": "The Kauffman bracket skein module of two-bridge links",
  "authors": [
    "Thang T. Q. Le",
    "Anh T. Tran"
  ],
  "comment": "Very minor changes. To appear in the Proceedings of the AMS",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We calculate the Kauffman bracket skein module (KBSM) of the complement of all two-bridge links. For a two-bridge link, we show that the KBSM of its complement is free over the ring $\\BC[t^{\\pm 1}]$ and when reducing $t=-1$, it is isomorphic to the ring of regular functions on the character variety of the link group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-26T02:04:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M25"
    ],
    "keywords": [
      "kauffman bracket skein module",
      "two-bridge link",
      "complement",
      "link group",
      "character variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.0332L"
    }
  }
}