{
  "id": "2006.11249",
  "version": "v1",
  "published": "2020-06-19T17:37:40.000Z",
  "updated": "2020-06-19T17:37:40.000Z",
  "title": "Dehn surgery and non-separating two-spheres",
  "authors": [
    "Jennifer Hom",
    "Tye Lidman"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating sphere? We use Heegaard Floer homology to give sufficient conditions for K to be unknotted. We also discuss some applications to homology cobordism, concordance, and Mazur manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-19T17:37:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K18",
      "57K30"
    ],
    "keywords": [
      "dehn surgery",
      "non-separating two-spheres",
      "rational homology sphere produce",
      "heegaard floer homology",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}