{
  "id": "1502.01102",
  "version": "v1",
  "published": "2015-02-04T06:07:42.000Z",
  "updated": "2015-02-04T06:07:42.000Z",
  "title": "Fibered knots with the same $0$-surgery and the slice-ribbon conjecture",
  "authors": [
    "Tetsuya Abe",
    "Keiji Tagami"
  ],
  "comment": "14 pages, 9 figures. Comments are welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "Akbulut and Kirby conjectured that two knots with the same $0$-surgery are concordant. In this paper, we prove that if the slice-ribbon conjecture is true, then the modified Akbulut-Kirby's conjecture is false. We also give a fibered potential counterexample to the slice-ribbon conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-04T06:07:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57R65"
    ],
    "keywords": [
      "slice-ribbon conjecture",
      "fibered knots",
      "modified akbulut-kirbys conjecture",
      "fibered potential counterexample",
      "concordant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150201102A"
    }
  }
}