{
  "id": "0805.2192",
  "version": "v4",
  "published": "2008-05-15T00:39:37.000Z",
  "updated": "2015-02-17T07:14:53.000Z",
  "title": "On the moduli space of Donaldson-Thomas instantons",
  "authors": [
    "Yuuji Tanaka"
  ],
  "comment": "21 pages, minor changes",
  "categories": [
    "math.DG"
  ],
  "abstract": "In alignment with a programme by Donaldson and Thomas, Thomas constructed a deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the Donaldson-Thomas invariant, from the moduli space of (semi-)stable sheaves by using algebraic geometry techniques. In the same paper, Thomas noted that a perturbed Hermitian-Einstein equation might possibly produce an analytic theory of the invariant. This article sets up the equation on symplectic 6-manifolds, describes the local model and structures of the moduli space coming from the equation by familiar techniques in gauge theory, and also mentions a Hitchin-Kobayashi style correspondence for the equation on compact Kaehler threefolds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-12-20T02:33:58.000Z",
      "comment": "21 pages, title changed, Appendix revised and references added",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-02-17T07:14:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07"
    ],
    "keywords": [
      "moduli space",
      "donaldson-thomas instantons",
      "compact kaehler threefolds",
      "hitchin-kobayashi style correspondence",
      "smooth projective calabi-yau threefolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.2192T"
    }
  }
}