{
  "id": "1811.04666",
  "version": "v1",
  "published": "2018-11-12T11:26:16.000Z",
  "updated": "2018-11-12T11:26:16.000Z",
  "title": "Obstruction theory on 7-manifolds",
  "authors": [
    "Martin Cadek",
    "Michael Crabb",
    "Tomas Salac"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "This paper gives a uniform, self-contained and direct approach to a variety of obstruction-theoretic problems on manifolds of dimension 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vector bundles over such manifolds especially using low dimensional representations of the group U(2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-12T11:26:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R25",
      "55R40",
      "55S35"
    ],
    "keywords": [
      "obstruction theory",
      "low dimensional representations",
      "obstruction-theoretic problems",
      "direct approach",
      "sufficient cohomological criteria"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}