{
  "id": "1902.06801",
  "version": "v1",
  "published": "2019-02-18T21:00:08.000Z",
  "updated": "2019-02-18T21:00:08.000Z",
  "title": "Cosmetic surgeries and the Poincare homology sphere",
  "authors": [
    "Tye Lidman"
  ],
  "comment": "2 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this short note, we prove that if a knot in the Poincare homology sphere is homotopically essential, then it does not admit any purely cosmetic surgeries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-18T21:00:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "poincare homology sphere",
      "purely cosmetic surgeries",
      "short note",
      "homotopically essential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}