{
  "id": "1609.02486",
  "version": "v1",
  "published": "2016-09-08T16:33:20.000Z",
  "updated": "2016-09-08T16:33:20.000Z",
  "title": "Homotopy types of gauge groups over non-simply-connected closed 4-manifolds",
  "authors": [
    "Tse Leung So"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $G$ be a simply-connected simple compact Lie group and let $M$ be an orientable smooth closed 4-manifold. In this paper we calculate the homotopy type of the suspension of $M$ and the homotopy types of the gauge groups of principal $G$-bundles over $M$ when $\\pi_1(M)$ is: (1)~a free group $\\mathbb{Z}^{*m}$, (2) a cyclic group $\\mathbb{Z}_{p^r}$ where $p$ is an odd prime, or (3) a free product of the previous two types.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-08T16:33:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C35",
      "55P40",
      "55R10"
    ],
    "keywords": [
      "homotopy type",
      "gauge groups",
      "simply-connected simple compact lie group",
      "free group",
      "cyclic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}