{
  "id": "math/0412453",
  "version": "v2",
  "published": "2004-12-22T15:02:23.000Z",
  "updated": "2005-04-13T09:23:38.000Z",
  "title": "A note on Vassiliev invariants of quasipositive knots",
  "authors": [
    "Sebastian Baader"
  ],
  "comment": "7 pages, 7 figures, one erroneous statement removed, more details in proof",
  "categories": [
    "math.GT"
  ],
  "abstract": "It has been known that any Alexander polynomial of a knot can be realized by a quasipositive knot. As a consequence, the Alexander polynomial cannot detect quasipositivity. In this paper we prove a similar result about Vassiliev invariants: for any oriented knot K and any natural number n there exists a quasipositive knot Q whose Vassiliev invariants of order less than or equal to n coincide with those of K.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-13T09:23:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "vassiliev invariants",
      "quasipositive knot",
      "alexander polynomial",
      "detect quasipositivity",
      "natural number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12453B"
    }
  }
}