{
  "id": "2210.04044",
  "version": "v2",
  "published": "2022-10-08T15:01:48.000Z",
  "updated": "2023-06-29T03:28:18.000Z",
  "title": "Ribbon concordance and the minimality of tight fibered knots",
  "authors": [
    "Tetsuya Abe",
    "Keiji Tagami"
  ],
  "comment": "This paper will be reorganized",
  "categories": [
    "math.GT"
  ],
  "abstract": "Agol proved that ribbon concordance forms a partial ordering on the set of knots in the $3$-sphere. In this paper, we prove that all tight fibered knots are minimal in this partially ordered set. We also give the table of prime minimal knots up to $8$-crossings except for $8_{15}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-06-29T03:28:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "tight fibered knots",
      "minimality",
      "prime minimal knots",
      "ribbon concordance forms",
      "partially ordered set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}