{
  "id": "0709.1689",
  "version": "v1",
  "published": "2007-09-11T18:08:26.000Z",
  "updated": "2007-09-11T18:08:26.000Z",
  "title": "Seifert surfaces, Commutators and Vassiliev invariants",
  "authors": [
    "Efstratia Kalfagianni",
    "Xiao-Song Lin"
  ],
  "comment": "35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)",
  "journal": "J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We show that the Vassiliev invariants of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks \"simple\" (e.g. like the complement of a disc) to the lower central series of its fundamental group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-11T18:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N10"
    ],
    "keywords": [
      "vassiliev invariants",
      "commutators",
      "lower central series",
      "regular seifert surface",
      "fundamental group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1689K"
    }
  }
}