{
  "id": "1802.09282",
  "version": "v1",
  "published": "2018-02-26T13:12:28.000Z",
  "updated": "2018-02-26T13:12:28.000Z",
  "title": "Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds",
  "authors": [
    "Gareth Wilkes"
  ],
  "comment": "13 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we extend previous results concerning the behaviour of JSJ decompositions of closed 3-manifolds with respect to the profinite completion to the case of compact 3-manifolds with boundary. We also illustrate an alternative and perhaps more natural approach to part of the original theorem, using relative cohomology to analyse the actions of an-annular atoroidal groups on profinite trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-26T13:12:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M05",
      "57M27",
      "20E18",
      "20J06"
    ],
    "keywords": [
      "jsj decompositions",
      "profinite completion",
      "an-annular atoroidal groups",
      "original theorem",
      "profinite trees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}