{
  "id": "1605.04513",
  "version": "v1",
  "published": "2016-05-15T09:21:10.000Z",
  "updated": "2016-05-15T09:21:10.000Z",
  "title": "On keen Heegaard splittings",
  "authors": [
    "Ayako Ido",
    "Yeonhee Jang",
    "Tsuyoshi Kobayashi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1210.7627",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we introduce a new concept of {\\it strongly keen} for Heegaard splittings, and show that, for any integers $n\\geq 2$ and $g\\geq 3$, there exists a strongly keen Heegaard splitting of genus $g$ whose Hempel distance is $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-15T09:21:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "hempel distance",
      "strongly keen heegaard splitting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}