{
  "id": "2012.14945",
  "version": "v1",
  "published": "2020-12-29T21:25:32.000Z",
  "updated": "2020-12-29T21:25:32.000Z",
  "title": "Irreducibility of periodic curves in cubic polynomial moduli space",
  "authors": [
    "Matthieu Arfeux",
    "Jan Kiwi"
  ],
  "comment": "40 pages, 5 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In the moduli space of complex cubic polynomials with a marked critical point, given any p>=1, we prove that the loci formed by polynomials with the marked critical point periodic of period p is an irreducible curve. Thus answering a question posed by Milnor in the 90's.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-29T21:25:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "47F05",
      "14H10"
    ],
    "keywords": [
      "cubic polynomial moduli space",
      "periodic curves",
      "irreducibility",
      "complex cubic polynomials",
      "marked critical point periodic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}