{
  "id": "math/0202045",
  "version": "v2",
  "published": "2002-02-06T18:01:31.000Z",
  "updated": "2007-12-14T01:28:40.000Z",
  "title": "Geometric structures on G2 and Spin(7)-manifolds",
  "authors": [
    "Jae-Hyouk Lee",
    "Naichung Conan Leung"
  ],
  "comment": "Revised and updated version",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article studies the geometry of moduli spaces of G2-manifolds, associative cycles, coassociative cycles and deformed Donaldson-Thomas bundles. We introduce natural symmetric cubic tensors and differential forms on these moduli spaces. They correspond to Yukawa couplings and correlation functions in M-theory. We expect that the Yukawa coupling characterizes (co-)associative fibrations on these manifolds. We discuss the Fourier transformation along such fibrations and the analog of the Strominger-Yau-Zaslow mirror conjecture for G2-manifolds. We also discuss similar structures and transformations for Spin(7)-manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-14T01:28:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric structures",
      "moduli spaces",
      "natural symmetric cubic tensors",
      "strominger-yau-zaslow mirror conjecture",
      "g2-manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 582720,
      "adsabs": "2002math......2045L"
    }
  }
}