{
  "id": "0902.0028",
  "version": "v2",
  "published": "2009-01-30T23:19:27.000Z",
  "updated": "2010-07-13T17:37:52.000Z",
  "title": "The column group and its link invariants",
  "authors": [
    "Johanna Hennig",
    "Sam Nelson"
  ],
  "comment": "10 pages; substantially revised. New version uses more general birack approach, with previous examples as special cases",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "The column group is a subgroup of the symmetric group on the elements of a finite blackboard birack generated by the column permutations in the birack matrix. We use subgroups of the column group associated to birack homomorphisms to define an enhancement of the integral birack counting invariant and give examples which show that the enhanced invariant is stronger than the unenhanced invariant.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-13T17:37:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "link invariants",
      "integral birack counting invariant",
      "symmetric group",
      "column permutations",
      "birack matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.0028H"
    }
  }
}