{
  "id": "1607.00857",
  "version": "v1",
  "published": "2016-07-04T12:34:24.000Z",
  "updated": "2016-07-04T12:34:24.000Z",
  "title": "On the stabilisation height of fibre surfaces in $S^3$",
  "authors": [
    "Sebastian Baader",
    "Filip Misev"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "The stabilisation height of a fibre surface in the 3-sphere is the minimal number of Hopf plumbing operations needed to attain a stable fibre surface from the initial surface. We show that families of fibre surfaces related by iterated Stallings twists have unbounded stabilisation height.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-04T12:34:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal number",
      "iterated stallings twists",
      "initial surface",
      "hopf plumbing operations",
      "stable fibre surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}