{
  "id": "2007.04237",
  "version": "v1",
  "published": "2020-07-08T16:30:04.000Z",
  "updated": "2020-07-08T16:30:04.000Z",
  "title": "Constrained knots in lens spaces",
  "authors": [
    "Fan Ye"
  ],
  "comment": "37 pages, 21 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper studies a special family of (1,1) knots called constrained knots, which includes 2-bridge knots and simple knots. They are parameterized by five parameters and characterized by the distribution of spin^c structures of intersection points in (1,1) diagrams. Their knot Floer homologies are calculated and the complete classification is obtained. Some examples of constrained knots come from links related to 2-bridge knots and 1-bridge braids. As an application, Heegaard Floer theory is studied for orientable 1-cusped hyperbolic manifolds that have ideal triangulations with at most 5 ideal tetrahedra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-08T16:30:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lens spaces",
      "knot floer homologies",
      "heegaard floer theory",
      "constrained knots come",
      "intersection points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}