{
  "id": "1909.04643",
  "version": "v1",
  "published": "2019-09-10T17:39:19.000Z",
  "updated": "2019-09-10T17:39:19.000Z",
  "title": "The Homotopy Types of $SU(4)$-Gauge Groups",
  "authors": [
    "Tyrone Cutler",
    "Stephen Theriault"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $\\mathcal{G}_k$ be the gauge group of the principal $SU(4)$-bundle over $S^4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $\\Omega\\mathcal{G}_k\\simeq\\Omega\\mathcal{G}_{k'}$ if and only if $(60,k)=(60,k')$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-10T17:39:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "54C35"
    ],
    "keywords": [
      "gauge group",
      "homotopy types",
      "local homotopy equivalence",
      "second chern class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}