{
  "id": "2003.07791",
  "version": "v1",
  "published": "2020-03-17T16:15:43.000Z",
  "updated": "2020-03-17T16:15:43.000Z",
  "title": "Twisted conjugacy in fundamental groups of geometric $3$-manifolds",
  "authors": [
    "Daciberg Gonçalves",
    "Parameswaran Sankaran",
    "Peter Wong"
  ],
  "comment": "11 pages, no figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "A group $G$ has property $R_\\infty$ if for every $\\phi\\in Aut(G)$, there are an infinite number of $\\phi$-twisted conjugacy classes of elements in $G$. In this note, we determine the $R_\\infty$-property for $G=\\pi_1(M)$ for almost all geometric $3$-manifolds $M$. The only case that are left out are certain Sol manifolds which are torus bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-17T16:15:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "20E36",
      "57M20",
      "55M20"
    ],
    "keywords": [
      "fundamental groups",
      "torus bundles",
      "infinite number",
      "sol manifolds",
      "twisted conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}