{
  "id": "math/0306198",
  "version": "v2",
  "published": "2003-06-12T06:01:32.000Z",
  "updated": "2005-02-17T01:23:05.000Z",
  "title": "Instanton counting on blowup. I. 4-dimensional pure gauge theory",
  "authors": [
    "Hiraku Nakajima",
    "Kota Yoshioka"
  ],
  "comment": "Title is changed. Introduction is expanded. A section on Seiberg-Witten prepotential is added. Accepted for publication in Invent. Math",
  "categories": [
    "math.AG",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give a mathematically rigorous proof of Nekrasov's conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on $\\mathbb R^4$ gives a deformation of the Seiberg-Witten prepotential for N=2 SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of $\\mathbb R^4$, we derive a differential equation for the Nekrasov's partition function. It is a deformation of the equation for the Seiberg-Witten prepotential, found by Losev et al., and further studied by Gorsky et al.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-17T01:23:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D21",
      "57R57",
      "81T13",
      "81T60"
    ],
    "keywords": [
      "pure gauge theory",
      "instanton counting",
      "seiberg-witten prepotential",
      "moduli spaces",
      "susy yang-mills theory"
    ],
    "tags": [
      "journal article",
      "famous paper"
    ],
    "publication": {
      "doi": "10.1007/s00222-005-0444-1",
      "journal": "Inventiones Mathematicae",
      "year": 2005,
      "month": "Jun",
      "volume": 162,
      "number": 2,
      "pages": 313
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 621017,
      "adsabs": "2005InMat.162..313N"
    }
  }
}