{
  "id": "0709.2287",
  "version": "v2",
  "published": "2007-09-14T13:01:09.000Z",
  "updated": "2008-01-15T15:19:01.000Z",
  "title": "Topological complexity of motion planning and Massey products",
  "authors": [
    "Mark Grant"
  ],
  "comment": "11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial Conference",
  "categories": [
    "math.AT",
    "math.OC"
  ],
  "abstract": "We employ Massey products to find sharper lower bounds for the Schwarz genus of a fibration than those previously known. In particular we give examples of non-formal spaces $X$ for which the topological complexity $\\TC(X)$ (defined to be the genus of the free path fibration on $X$) is greater than the zero-divisors cup-length plus one.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-15T15:19:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M99",
      "55S30",
      "68T40"
    ],
    "keywords": [
      "topological complexity",
      "motion planning",
      "employ massey products",
      "zero-divisors cup-length plus",
      "sharper lower bounds"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2287G"
    }
  }
}