{
  "id": "2304.11516",
  "version": "v1",
  "published": "2023-04-23T02:02:23.000Z",
  "updated": "2023-04-23T02:02:23.000Z",
  "title": "A model of the cubic connectedness locus",
  "authors": [
    "Alexander Blokh",
    "Lex Oversteegen",
    "Vladlen Timorin",
    "Yimin Wang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a locally connected model of the boundary of the cubic connectedness locus. The model is obtained by constructing a decomposition of the space of critical portraits and collapsing elements of the decomposition into points. This model is similar to a quotient of the quadratic combinatorial locus where all baby Mandelbrot sets are collapsed to points. All fibers of the model, possibly except one, are connected.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-23T02:02:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20",
      "37F10",
      "37F25"
    ],
    "keywords": [
      "cubic connectedness locus",
      "quadratic combinatorial locus",
      "baby mandelbrot sets",
      "decomposition",
      "locally connected model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}