{
  "id": "1502.03029",
  "version": "v1",
  "published": "2015-02-10T18:31:43.000Z",
  "updated": "2015-02-10T18:31:43.000Z",
  "title": "Counting Generic Quadrisecants of Polygonal Knots",
  "authors": [
    "Aldo-Hilario Cruz-Cota",
    "Teresita Ramirez-Rosas"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $K$ be a polygonal knot in general position with vertex set $V$. A generic quadrisecant of $K$ is a line that is disjoint from the set $V$ and intersects $K$ in exactly four distinct points. We give an upper bound for the number of generic quadrisecants of a polygonal knot $K$ in general position. This upper bound is in terms of the number of edges of $K$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-10T18:31:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "polygonal knot",
      "counting generic quadrisecants",
      "general position",
      "upper bound",
      "vertex set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150203029C"
    }
  }
}