{
  "id": "0705.4639",
  "version": "v1",
  "published": "2007-05-31T16:06:39.000Z",
  "updated": "2007-05-31T16:06:39.000Z",
  "title": "New Invariants of Long Virtual Knots",
  "authors": [
    "Andrew Bartholomew",
    "Roger Fenn",
    "Naoko Kamada",
    "Seiichi Kamada"
  ],
  "comment": "14 pages 11 figures",
  "categories": [
    "math.GT",
    "math.RA"
  ],
  "abstract": "This paper extends the construction of invariants for virtual knots to virtual long knots and introduces two new invariant modules of virtual long knots. Several interesting features are described that distinguish virtual long knots from their classical counterparts with respect to their symmetries and the concatenation product.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-31T16:06:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "long virtual knots",
      "distinguish virtual long knots",
      "paper extends",
      "invariant modules",
      "concatenation product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.4639B"
    }
  }
}