{
  "id": "math/0312059",
  "version": "v3",
  "published": "2003-12-02T15:33:54.000Z",
  "updated": "2004-06-05T16:36:38.000Z",
  "title": "Gromov-Witten theory and Donaldson-Thomas theory, I",
  "authors": [
    "D. Maulik",
    "N. Nekrasov",
    "A. Okounkov",
    "R. Pandharipande"
  ],
  "comment": "31 pages, revised version",
  "categories": [
    "math.AG"
  ],
  "abstract": "We conjecture an equivalence between the Gromov-Witten theory of 3-folds and the holomorphic Chern-Simons theory of Donaldson-Thomas. For Calabi-Yau 3-folds, the equivalence is defined by the change of variables, exp(iu)=-q, where u is the genus parameter of GW theory and q is charge parameter of DT theory. The conjecture is proven for local Calabi-Yau toric surfaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-06-05T16:36:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gromov-witten theory",
      "donaldson-thomas theory",
      "local calabi-yau toric surfaces",
      "holomorphic chern-simons theory",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12059M"
    }
  }
}