{
  "id": "1503.08006",
  "version": "v1",
  "published": "2015-03-27T09:59:23.000Z",
  "updated": "2015-03-27T09:59:23.000Z",
  "title": "A splitting theorem for good complexifications",
  "authors": [
    "Indranil Biswas",
    "Mahan Mj",
    "A. J. Parameswaran"
  ],
  "comment": "13 pgs no figs",
  "categories": [
    "math.GT",
    "math.AG",
    "math.GR"
  ],
  "abstract": "The purpose of this paper is to produce restrictions on fundamental groups of manifolds admitting good complexifications by proving the following Cheeger-Gromoll type splitting theorem: Any closed manifold $M$ admitting a good complexification has a finite-sheeted regular covering $M_1$ such that $M_1$ admits a fiber bundle structure with base $(S^1)^k$ and fiber $N$ that admits a good complexification and also has zero virtual first Betti number. We give several applications to manifolds of dimension at most 5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-27T09:59:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14P25",
      "57M05",
      "14F35",
      "20F65"
    ],
    "keywords": [
      "complexification",
      "zero virtual first betti number",
      "cheeger-gromoll type splitting theorem",
      "fiber bundle structure",
      "fundamental groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}