{
  "id": "math/0402162",
  "version": "v2",
  "published": "2004-02-10T19:28:40.000Z",
  "updated": "2006-04-04T15:22:02.000Z",
  "title": "Filamentations for Virtual Links",
  "authors": [
    "William J. Schellhorn"
  ],
  "comment": "Withdrawn due to publication",
  "journal": "Schellhorn, William J., \"Filamentations for Virtual Links\", Journal of Knot Theory and Its Ramifications, Vol. 15, No. 3 (March 2006), pp. 327-338",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non-trivial. A virtual knot diagram is non-classical if its related flat virtual knot diagram is non-trivial. Hence filamentations can be used to detect non-classical virtual knots. We extend these filamentation techniques to virtual links with more than one component. We also give examples of virtual links that they can detect as non-classical.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-04T15:22:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "virtual links",
      "corresponding flat virtual knot diagrams",
      "related flat virtual knot diagram",
      "detect non-classical virtual knots",
      "filamentation invariant"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}