{
  "id": "1208.3558",
  "version": "v2",
  "published": "2012-08-17T09:14:08.000Z",
  "updated": "2013-09-09T11:05:33.000Z",
  "title": "Reduced holonomy and Hodge theory",
  "authors": [
    "Gil R. Cavalcanti"
  ],
  "comment": "This paper was incorporated into arxiv:1203.0493v4",
  "categories": [
    "math.DG"
  ],
  "abstract": "We develop Hodge theory for a Riemannian manifold $(M,g)$ with a background closed 3-form, H. Precisely, we prove that if the metric connections with torsion $\\pm H$ have holonomy groups $G_\\pm$, then the $d^H$-Laplacian preserves the irreducible representations of the Lie algebras of the holonomy groups on the space of forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-09T11:05:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A14",
      "58A10",
      "58A12"
    ],
    "keywords": [
      "hodge theory",
      "reduced holonomy",
      "holonomy groups",
      "metric connections",
      "riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}