{
  "id": "1103.2204",
  "version": "v1",
  "published": "2011-03-11T07:37:48.000Z",
  "updated": "2011-03-11T07:37:48.000Z",
  "title": "On the universal sl_2 invariant of boundary bottom tangles",
  "authors": [
    "Sakie Suzuki"
  ],
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "The universal sl_2 invariant of bottom tangles has a universality property for the colored Jones polynomial of links. Habiro conjectured that the universal sl_2 invariant of boundary bottom tangles takes values in certain subalgebras of the completed tensor powers of the quantized enveloping algebra U_h(sl_2) of the Lie algebra sl_2. In the present paper, we prove an improved version of Habiro's conjecture. As an application, we prove a divisibility property of the colored Jones polynomial of boundary links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-11T07:37:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "colored jones polynomial",
      "boundary links",
      "divisibility property",
      "universality property",
      "habiros conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.2204S"
    }
  }
}