{
  "id": "2109.12415",
  "version": "v2",
  "published": "2021-09-25T18:24:12.000Z",
  "updated": "2022-02-05T18:56:23.000Z",
  "title": "The homotopy type of a once-suspended 6-manifold and its applications",
  "authors": [
    "Tyrone Cutler",
    "Tseleung So"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $M$ be a closed, oriented, simply connected 6-manifold. After localization away from 2, we give a homotopy decomposition of $\\Sigma M$ in terms of spheres, Moore spaces and other recognizable spaces. As applications we calculate generalized cohomology groups of $M$ and determine the homotopy types of gauge groups of certain bundles over $M$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-05T18:56:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N65",
      "55P15",
      "55P40"
    ],
    "keywords": [
      "homotopy type",
      "applications",
      "gauge groups",
      "localization away",
      "homotopy decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}