{
  "id": "math/0309150",
  "version": "v1",
  "published": "2003-09-08T17:15:01.000Z",
  "updated": "2003-09-08T17:15:01.000Z",
  "title": "Ribbon concordance of surface-knots via quandle cocycle invariants",
  "authors": [
    "J. Scott Carter",
    "Masahico Saito",
    "Shin Satoh"
  ],
  "comment": "14 pages, eight figures, interesting applications",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We give necessary conditions of a surface-knot to be ribbon concordant to another, by introducing a new variant of the cocycle invariant of surface-knots in addition to using the invariant already known. We demonstrate that twist-spins of some torus knots are not ribbon concordant to their orientation reversed images.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-08T17:15:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q45",
      "57Q60",
      "57M25",
      "55N99"
    ],
    "keywords": [
      "quandle cocycle invariants",
      "ribbon concordance",
      "surface-knot",
      "ribbon concordant",
      "necessary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9150C"
    }
  }
}