{
  "id": "1804.09951",
  "version": "v1",
  "published": "2018-04-26T09:19:10.000Z",
  "updated": "2018-04-26T09:19:10.000Z",
  "title": "Complex G_2 manifolds",
  "authors": [
    "Selman Akbulut",
    "Ustun Yildirim"
  ],
  "comment": "28 pages",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We introduce the notion of complex G_2 manifold M_C, and complexification of a G_2 manifold M. As an application we show that isotropic deformations of an associative submanifold of a G_2 manifold M inside of its complexification M_C is given by Seiberg-Witten type equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-26T09:19:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C38",
      "53C29",
      "57R57"
    ],
    "keywords": [
      "seiberg-witten type equations",
      "complexification",
      "isotropic deformations",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}