{
  "id": "1807.01931",
  "version": "v1",
  "published": "2018-07-05T10:21:44.000Z",
  "updated": "2018-07-05T10:21:44.000Z",
  "title": "Homotopy types of $SU(n)$-gauge groups over non-spin 4-manifolds",
  "authors": [
    "Tseleung So"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $M$ be an orientable, simply-connected, closed, non-spin 4-manifold and let $\\mathcal{G}_k(M)$ be the gauge group of the principal $G$-bundle over $M$ with second Chern class $k\\in\\mathbb{Z}$. It is known that the homotopy type of $\\mathcal{G}_k(M)$ is determined by the homotopy type of $\\mathcal{G}_k(\\mathbb{CP}^2)$. In this paper we investigate properties of $\\mathcal{G}_k(\\mathbb{CP}^2)$ when $G = SU(n)$ that partly classify the homotopy types of the gauge groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-05T10:21:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "54C35",
      "81T13"
    ],
    "keywords": [
      "homotopy type",
      "gauge group",
      "second chern class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}