{
  "id": "1308.2263",
  "version": "v2",
  "published": "2013-08-10T00:41:58.000Z",
  "updated": "2016-05-20T21:03:07.000Z",
  "title": "Algebraic topology of $G_2$ manifolds",
  "authors": [
    "Selman Akbulut",
    "Mustafa Kalafat"
  ],
  "comment": "27 pages, 2 figures. Final version with journal info",
  "journal": "Expo. Math. 34 (2016) 106-129",
  "doi": "10.1016/j.exmath.2015.03.004",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "In this paper we give a survey of various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2. Some of these results are new. We give self-contained proofs here. One often encounters these spaces when studying submanifolds of manifolds with calibrated geometries. For the sake of completeness we decided to collect them here in a self-contained way to be easily accessible for future usage in calibrated geometry. As an application we deduce existence of certain special 3 and 4 dimensional submanifolds of G_2 manifolds with special properties, which appear in the first named author's work with S. Salur about G_2 dualities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-10T00:41:58.000Z",
      "abstract": "We discuss various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2, and give some applications to the manifolds with G_2 structure.",
      "comment": "27 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-05-20T21:03:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "55T10"
    ],
    "keywords": [
      "algebraic topology",
      "exceptional lie group",
      "oriented grassmannian bundles",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2263A"
    }
  }
}