{
  "id": "1501.06682",
  "version": "v1",
  "published": "2015-01-27T08:11:17.000Z",
  "updated": "2015-01-27T08:11:17.000Z",
  "title": "The $Σ$-invariants of Thompson's group $F$ via Morse theory",
  "authors": [
    "Stefan Witzel",
    "Matthew C. B. Zaremsky"
  ],
  "comment": "17 pages, 2 figures",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Bieri, Geoghegan and Kochloukova computed the BNSR-invariants $\\Sigma^m(F)$ of Thompson's group $F$ for all $m$. We recompute these using entirely geometric techniques, making use of the Stein--Farley CAT(0) cube complex on which $F$ acts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-27T08:11:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "57M07"
    ],
    "keywords": [
      "thompsons group",
      "morse theory",
      "geometric techniques",
      "stein-farley cat",
      "cube complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150106682W"
    }
  }
}