{
  "id": "math/0309140",
  "version": "v1",
  "published": "2003-09-08T05:22:57.000Z",
  "updated": "2003-09-08T05:22:57.000Z",
  "title": "Unexpected connections between Burnside Groups and Knot Theory",
  "authors": [
    "Mieczyslaw K. Dabkowski",
    "Jozef H. Przytycki"
  ],
  "comment": "11 pages, 9 figures",
  "doi": "10.1073/pnas.0406098101",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "In Classical Knot Theory and in the new Theory of Quantum Invariants substantial effort was directed toward the search for unknotting moves on links. We solve, in this note, several classical problems concerning unknotting moves. Our approach uses a new concept, Burnside groups of links, which establishes unexpected relationship between Knot Theory and Group Theory. Our method has the potential to be used in computational biology in the analysis of DNA via tangle embedding theory, as developed by D.W.Sumners.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-08T05:22:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "20D99"
    ],
    "keywords": [
      "knot theory",
      "burnside groups",
      "unexpected connections",
      "quantum invariants substantial effort",
      "classical problems concerning unknotting moves"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Proceedings of the National Academy of Science",
      "year": 2004,
      "month": "Dec",
      "volume": 101,
      "number": 50,
      "pages": 17357
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004PNAS..10117357D"
    }
  }
}