{
  "id": "1104.2755",
  "version": "v4",
  "published": "2011-04-14T13:16:05.000Z",
  "updated": "2011-09-26T13:07:25.000Z",
  "title": "Topological complexity, fibrations and symmetry",
  "authors": [
    "Mark Grant"
  ],
  "comment": "Final version, to appear in Topology and its Applications",
  "categories": [
    "math.AT"
  ],
  "abstract": "We show how locally smooth actions of compact Lie groups on a manifold $X$ can be used to obtain new upper bounds for the topological complexity $\\TC(X)$, in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-09-26T13:07:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M99",
      "55M30",
      "57S15",
      "68T40"
    ],
    "keywords": [
      "topological complexity",
      "fibrations",
      "compact lie groups",
      "finitely generated torsion-free nilpotent groups",
      "upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.2755G"
    }
  }
}