{
  "id": "math/0506393",
  "version": "v2",
  "published": "2005-06-20T11:07:48.000Z",
  "updated": "2006-10-16T13:05:25.000Z",
  "title": "Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case",
  "authors": [
    "Roger Fenn"
  ],
  "comment": "25 pages, 13 figures",
  "categories": [
    "math.GT",
    "math.RA"
  ],
  "abstract": "In this paper we show how generalized quaternions, including 2X2 matrices, can be used to find solutions of a non-commuting equation intimately connected with braid groups. These solutions can then be used to find polynomial invariants of virtual knots and links.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-16T13:05:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "virtual knots",
      "quaternion algebras",
      "elliptic case",
      "braid groups",
      "polynomial invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6393F"
    }
  }
}