{
  "id": "math/0212187",
  "version": "v3",
  "published": "2002-12-13T14:40:02.000Z",
  "updated": "2003-01-13T19:49:23.000Z",
  "title": "Blanchfield and Seifert algebra in high dimensional knot theory",
  "authors": [
    "Andrew Ranicki"
  ],
  "comment": "30 pages, LATEX. v3: minor revision of v2 (which was itself a minor revision of v1)",
  "journal": "Moscow Mathematical Journal 3, 1333-1367 (2003)",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "Novikov initiated the study of the algebraic properties of quadratic forms over polynomial extensions by a far-reaching analogue of the Pontrjagin-Thom transversality construction of a Seifert surface of a knot and the infinite cyclic cover of the knot exterior. In this paper the analogy is applied to explain the relationship between the Seifert forms over a ring with involution and Blanchfield forms over the Laurent polynomial extension.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-01-13T19:49:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R67"
    ],
    "keywords": [
      "high dimensional knot theory",
      "seifert algebra",
      "blanchfield",
      "laurent polynomial extension",
      "infinite cyclic cover"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12187R"
    }
  }
}