{
  "id": "2009.07041",
  "version": "v1",
  "published": "2020-09-15T12:56:09.000Z",
  "updated": "2020-09-15T12:56:09.000Z",
  "title": "Heegaard distance of the link complements in $S^3$",
  "authors": [
    "Xifeng Jin"
  ],
  "comment": "18 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that, for any integers, $g \\geq 3$ and $n \\geq 2$, there exists a link in $S^3$ such that its complement has a genus $g$ Heegaard splitting with distance $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-15T12:56:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "heegaard distance",
      "link complements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}