{
  "id": "1103.0301",
  "version": "v2",
  "published": "2011-03-01T22:10:23.000Z",
  "updated": "2012-12-13T17:54:39.000Z",
  "title": "Birack modules and their link invariants",
  "authors": [
    "Regina Bauernschmidt",
    "Sam Nelson"
  ],
  "comment": "11 pages. Version 2 includes changes suggested by referee",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We extend the rack algebra Z[X] defined by Andruskiewitsch and Grana to the case of biracks, enabling a notion of birack modules. We use these birack modules to define an enhancement of the birack counting invariant generalizing the birack module counting invariant in [8]. We provide examples demonstrating that the enhanced invariant is not determined by the Jones or Alexander polynomials and is strictly stronger than the unenhanced birack counting invariant.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-13T17:54:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M25"
    ],
    "keywords": [
      "link invariants",
      "birack module counting invariant",
      "unenhanced birack counting invariant",
      "rack algebra",
      "alexander polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0301B"
    }
  }
}