{
  "id": "math/0412139",
  "version": "v1",
  "published": "2004-12-07T15:34:10.000Z",
  "updated": "2004-12-07T15:34:10.000Z",
  "title": "On the hull numbers of torus links",
  "authors": [
    "Ivan Izmestiev"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "The n-th hull of a union of curves in R^3 is the set of points with the property: Any plane passing through the point intersects the curves at least 2n times. The hull number u(L) of a link L is defined as the minimum number of non-empty hulls a representative of L can have. We show that the hull numbers of torus links are smaller than expected, but still large. In particular, for a link of type (p,p) hull number equals 3p/5, and in general for the type (p,q) with q>p it is greater than or equal to p/2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-07T15:34:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "52A35"
    ],
    "keywords": [
      "torus links",
      "hull number equals",
      "non-empty hulls",
      "minimum number",
      "point intersects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12139I"
    }
  }
}