{
  "id": "math/9903069",
  "version": "v2",
  "published": "1999-03-12T09:07:27.000Z",
  "updated": "2000-03-03T01:53:57.000Z",
  "title": "Finite type invariants of knots via their Seifert matrices",
  "authors": [
    "Hitoshi Murakami",
    "Tomotada Ohtsuki"
  ],
  "comment": "8 pages, 7 figures, updated references",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define a filtration on the vector space spanned by Seifert matrices of knots related to Vassiliev's filtration on the space of knots. Further we show that the invariants of knots derived from the filtration can be expressed by coefficients of the Alexander polynomial.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-03-03T01:53:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "finite type invariants",
      "seifert matrices",
      "vassilievs filtration",
      "alexander polynomial",
      "vector space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......3069M"
    }
  }
}