{
  "id": "math/0311237",
  "version": "v1",
  "published": "2003-11-14T07:54:09.000Z",
  "updated": "2003-11-14T07:54:09.000Z",
  "title": "Curve counting and instanton counting",
  "authors": [
    "Jian Zhou"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove some combinatorial results required for the proof of the following conjecture of Nekrasov: The generating function of closed string invariants in local Calabi-Yau geometries obtained by appropriate fibrations of $A_N$ singularities over $P^1$ reproduce the generating function of equivariant $\\hat{A}$-genera of moduli space of instants on $C^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-14T07:54:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "instanton counting",
      "curve counting",
      "generating function",
      "local calabi-yau geometries",
      "moduli space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 633298,
      "adsabs": "2003math.....11237Z"
    }
  }
}