{
  "id": "2208.10380",
  "version": "v1",
  "published": "2022-08-22T15:01:03.000Z",
  "updated": "2022-08-22T15:01:03.000Z",
  "title": "Deformed $G_2$-instantons on $\\mathbb{R}^4 \\times S^3$",
  "authors": [
    "Udhav Fowdar"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We construct explicit examples of deformed $G_2$-instantons on $\\mathbb{R}^4 \\times S^3$ endowed with the torsion free $G_2$-structure found by Brandhuber et al. These are the first such non-trivial examples on a $G_2$ manifold. We also construct examples on the Bryant-Salamon cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-22T15:01:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "53C29"
    ],
    "keywords": [
      "instantons",
      "construct explicit examples",
      "torsion free",
      "non-trivial examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}