{
  "id": "2411.08336",
  "version": "v2",
  "published": "2024-11-13T04:55:15.000Z",
  "updated": "2024-12-02T07:30:53.000Z",
  "title": "Branched covers between 2-spheres",
  "authors": [
    "Yingjie Meng",
    "Zhiqiang Wei",
    "Chuankai Zhou"
  ],
  "comment": "17 pages. All suggestions are welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "By leveraging techniques from complex analysis and topology, we have uncovered a remarkable property of branched covers and formulated a criterion for the existence of specific types of branched covers between 2-spheres. This criterion extends the findings previously reported by Jiang (2004), Pervova-Petronio (2006), Zhu (2019), and Wei-Wu-Xu (2024). Furthermore, as an application of our criterion, we introduce several novel exceptional branching datum.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-12-02T07:30:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M12"
    ],
    "keywords": [
      "branched covers",
      "novel exceptional branching datum",
      "complex analysis",
      "specific types",
      "criterion extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}