{
  "id": "2007.08704",
  "version": "v1",
  "published": "2020-07-17T00:54:16.000Z",
  "updated": "2020-07-17T00:54:16.000Z",
  "title": "On Lusternik-Schnirelmann category and topological complexity of no k-equal manifolds",
  "authors": [
    "Jesús González",
    "José Luis León-Medina"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We compute the Lusternik-Schnirelmann category and the topological complexity of no $k$-equal manifolds $M^{(k)}_d(n)$ for certain values of $d$, $k$ and $n$. This includes instances where $M^{(k)}_d(n)$ is known to be rationally non-formal. The key ingredient in our computations is the knowledge of the cohomology ring $H^*(M^{(k)}_d(n))$ as described by Dobrinskaya and Turchin. A fine tuning comes from the use of obstruction theory techniques.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-17T00:54:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80",
      "55S35",
      "55S40",
      "55M30",
      "68T40"
    ],
    "keywords": [
      "lusternik-schnirelmann category",
      "topological complexity",
      "k-equal manifolds",
      "obstruction theory techniques",
      "fine tuning comes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}