{
  "id": "2203.10572",
  "version": "v1",
  "published": "2022-03-20T14:52:10.000Z",
  "updated": "2022-03-20T14:52:10.000Z",
  "title": "Smooth Knot Limit Sets of the Complex Hyperbolic Plane",
  "authors": [
    "Waldemar Barrera",
    "Rene Garcia",
    "Juan Pablo Navarrete"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "It is shown that if a regular knot of class C2 is embedded in the boundary of the complex hyperbolic plane as the limit set of a discrete subgroup of PU(2, 1) then it is either a chain or an R-circle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-20T14:52:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D22",
      "51M15",
      "37F32"
    ],
    "keywords": [
      "smooth knot limit sets",
      "complex hyperbolic plane",
      "class c2",
      "regular knot",
      "discrete subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}