{
  "id": "math/0512573",
  "version": "v1",
  "published": "2005-12-26T15:31:12.000Z",
  "updated": "2005-12-26T15:31:12.000Z",
  "title": "The local Donaldson-Thomas theory of curves",
  "authors": [
    "A. Okounkov",
    "R. Pandharipande"
  ],
  "comment": "75 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donaldson-Thomas theory, and the quantum cohomology of the Hilbert scheme of points of the plane. The quantum differential equation of the Hilbert scheme of points of the plane has a natural interpretation in the local Donaldson-Thomas theory of curves. The solution determines the 1-legged equivariant vertex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-26T15:31:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local donaldson-thomas theory",
      "hilbert scheme",
      "quantum differential equation",
      "equivalences relating gromov-witten theory",
      "natural interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 75,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12573O"
    }
  }
}