{
  "id": "1912.10674",
  "version": "v1",
  "published": "2019-12-23T08:23:39.000Z",
  "updated": "2019-12-23T08:23:39.000Z",
  "title": "Negative curvature in graph braid groups",
  "authors": [
    "Anthony Genevois"
  ],
  "comment": "29 pages, 9 figures. Extracted from the first version of arXiv:1709.01258",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this article, we initiate a geometric study of graph braid groups. More precisely, by applying the formalism of special colorings introduced in a previous article, we determine precisely when a graph braid group is Gromov-hyperbolic, toral relatively hyperbolic, and acylindrically hyperbolic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-23T08:23:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "20F36"
    ],
    "keywords": [
      "graph braid group",
      "negative curvature",
      "special colorings",
      "geometric study",
      "toral relatively hyperbolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}