{
  "id": "0809.4055",
  "version": "v2",
  "published": "2008-09-24T15:57:13.000Z",
  "updated": "2009-10-13T10:22:17.000Z",
  "title": "Deformations of glued G_2-manifolds",
  "authors": [
    "Johannes Nordström"
  ],
  "comment": "13 pages; minor corrections, numbering changed to match print version",
  "journal": "Comm. Anal. Geom. 17 (2009) 481-503",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study how a gluing construction, which produces compact manifolds with holonomy G_2 from matching pairs of asymptotically cylindrical G_2-manifolds, behaves under deformations. We show that the gluing construction defines a smooth map from a moduli space of gluing data to the moduli space of torsion-free G_2-structures on the glued manifold, and that this is a local diffeomorphism. We use this to partially compactify the moduli space of torsion-free G_2-structures, including it as the interior of a topological manifold with boundary. The boundary points are equivalence classes of matching pairs of torsion-free asymptotically cylindrical G_2-structures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-13T10:22:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C29"
    ],
    "keywords": [
      "moduli space",
      "deformations",
      "produces compact manifolds",
      "matching pairs",
      "torsion-free"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4055N"
    }
  }
}