{
  "id": "1909.11473",
  "version": "v1",
  "published": "2019-09-25T13:15:34.000Z",
  "updated": "2019-09-25T13:15:34.000Z",
  "title": "Constructions of compact G2-holonomy manifolds",
  "authors": [
    "Alexei Kovalev"
  ],
  "comment": "To appear in a forthcoming volume of the Fields Institute Communications, entitled \"Lectures and Surveys on G2 manifolds and related topics\"",
  "categories": [
    "math.DG"
  ],
  "abstract": "This is a survey paper. We explain the known constructions for two geometrically different classes of examples of compact Riemannian 7-manifolds with holonomy G2. One method uses resolutions of singularities of appropriately chosen 7-dimensional orbifolds, with the help of asymptotically locally Euclidean spaces. Another method uses the gluing of two asymptotically cylindrical pieces and requires a certain matching condition for their cross-sections `at infinity'.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-25T13:15:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C21",
      "58J60"
    ],
    "keywords": [
      "compact g2-holonomy manifolds",
      "constructions",
      "holonomy g2",
      "survey paper",
      "asymptotically locally euclidean spaces"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}