{
  "id": "1107.3908",
  "version": "v1",
  "published": "2011-07-20T07:06:03.000Z",
  "updated": "2011-07-20T07:06:03.000Z",
  "title": "Finiteness of $A_n$-equivalence types of gauge groups",
  "authors": [
    "Mitsunobu Tsutaya"
  ],
  "comment": "17 pages, 10 figures",
  "journal": "J. London Math. Soc. (2012) 85 (1): 142-164",
  "doi": "10.1112/jlms/jdr040",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\\infty$. As an example, we give a lower bound of the number of $A_n$-equivalence types of gauge groups of principal $\\SU(2)$-bundles over $S^4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-20T07:06:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge groups",
      "equivalence types",
      "finiteness",
      "finite cw complex",
      "compact connected lie group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3908T"
    }
  }
}