{
  "id": "0704.3390",
  "version": "v1",
  "published": "2007-04-25T15:07:18.000Z",
  "updated": "2007-04-25T15:07:18.000Z",
  "title": "Realizations of Seifert matrices by hyperbolic knots",
  "authors": [
    "Stefan Friedl"
  ],
  "comment": "4 pages, to be published by the Journal of Knot Theory and its Ramifications",
  "categories": [
    "math.GT"
  ],
  "abstract": "Recently Kearton showed that any Seifert matrix of a knot is S--equivalent to the Seifert matrix of a prime knot. We show in this note that such a matrix is in fact S--equivalent to the Seifert matrix of a hyperbolic knot. This result follows from reinterpreting this problem in terms of Blanchfield pairings and by applying results of Kawauchi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-25T15:07:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "hyperbolic knot",
      "seifert matrices",
      "seifert matrix",
      "realizations",
      "blanchfield pairings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.3390F"
    }
  }
}