{
  "id": "1202.5570",
  "version": "v2",
  "published": "2012-02-24T21:45:02.000Z",
  "updated": "2012-03-06T14:47:52.000Z",
  "title": "An upper bound for the Lusternik-Schnirelmann category of the symplectic group",
  "authors": [
    "E. Macías-Virgós",
    "M. J. Pereira-Sáez"
  ],
  "comment": "6 pages. Corrected version with only minor changes",
  "categories": [
    "math.AT"
  ],
  "abstract": "We prove that the LS category of the symplectic group $Sp(n)$ is bounded above by $\\binom{n+1}{2}$. This is achieved by computing the number of critical levels of a height function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-06T14:47:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M30"
    ],
    "keywords": [
      "symplectic group",
      "lusternik-schnirelmann category",
      "upper bound",
      "ls category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5570M"
    }
  }
}