{
  "id": "2304.01808",
  "version": "v1",
  "published": "2023-04-04T14:05:36.000Z",
  "updated": "2023-04-04T14:05:36.000Z",
  "title": "On profinite rigidity of 4-dimensional Seifert manifolds",
  "authors": [
    "Jiming Ma",
    "Zixi Wang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2011.03784",
  "categories": [
    "math.GT"
  ],
  "abstract": "There are many results showing the connection and phenomenon between some low-dimensional manifolds with the profinite completions of their fundamental groups. We focus on some Seifert 4-manifolds about the extent of their profinite completion to detect one, giving classification of monodromies and conditions for them to be profinitely rigid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-04T14:05:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "seifert manifolds",
      "profinite rigidity",
      "profinite completion",
      "fundamental groups",
      "low-dimensional manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}