{
  "id": "1906.11234",
  "version": "v1",
  "published": "2019-06-26T17:53:52.000Z",
  "updated": "2019-06-26T17:53:52.000Z",
  "title": "Homology spheres and property R",
  "authors": [
    "Min Hoon Kim",
    "JungHwan Park"
  ],
  "comment": "4 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present infinitely many homology spheres which contain two distinct knots whose 0-surgeries are $S^1 \\times S^2$. This resolves a question posed by Kirby and Melvin from 1978.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-26T17:53:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "homology spheres",
      "distinct knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}