{
  "id": "1111.6408",
  "version": "v1",
  "published": "2011-11-28T11:19:21.000Z",
  "updated": "2011-11-28T11:19:21.000Z",
  "title": "On the colored Jones polynomials of ribbon links, boundary links and Brunnian links",
  "authors": [
    "Sakie Suzuki"
  ],
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of Z[q,q^{-1}] generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-28T11:19:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "colored jones polynomials",
      "brunnian links",
      "boundary links",
      "ribbon links",
      "linear combinations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6408S"
    }
  }
}