{
  "id": "0706.3398",
  "version": "v2",
  "published": "2007-06-24T18:08:14.000Z",
  "updated": "2007-08-07T16:09:57.000Z",
  "title": "The slice-ribbon conjecture for 3-stranded pretzel knots",
  "authors": [
    "Joshua Greene",
    "Stanislav Jabuka"
  ],
  "comment": "21 pages, 5 figures. Significantly expanded version, mistake in previous proof corrected",
  "categories": [
    "math.GT"
  ],
  "abstract": "We determine the smooth concordance order of the 3-stranded pretzel knots P(p,q,r) with p,q,r odd. We show that each one of finite order is, in fact, ribbon, thereby proving the slice-ribbon conjecture for this family of knots. As corollaries we give new proofs of results first obtained by Fintushel-Stern and Casson-Gordon.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-07T16:09:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "pretzel knots",
      "slice-ribbon conjecture",
      "smooth concordance order",
      "finite order",
      "results first"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3398J"
    }
  }
}