{
  "id": "1405.6274",
  "version": "v2",
  "published": "2014-05-24T07:26:08.000Z",
  "updated": "2015-02-17T07:35:24.000Z",
  "title": "Decision problems for 3-manifolds and their fundamental groups",
  "authors": [
    "Matthias Aschenbrenner",
    "Stefan Friedl",
    "Henry Wilton"
  ],
  "comment": "31 pages, final version",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We survey the status of some decision problems for 3-manifolds and their fundamental groups. This includes the classical decision problems for finitely presented groups (Word Problem, Conjugacy Problem, Isomorphism Problem), and also the Homeomorphism Problem for 3-manifolds and the Membership Problem for 3-manifold groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-24T07:26:08.000Z",
      "comment": "30 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-17T07:35:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fundamental groups",
      "isomorphism problem",
      "conjugacy problem",
      "classical decision problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6274A"
    }
  }
}