{
  "id": "0809.4010",
  "version": "v3",
  "published": "2008-09-23T20:04:52.000Z",
  "updated": "2009-11-19T22:12:01.000Z",
  "title": "Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves",
  "authors": [
    "Anthony Licata",
    "Alistair Savage"
  ],
  "comment": "36 pages; v2: Definition of geometric Heisenberg operators modified; v3: Minor typos corrected",
  "journal": "Selecta Math. 16 (2010), no. 16, 201-240",
  "doi": "10.1007/s00029-009-0015-1",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We define complexes of vector bundles on products of moduli spaces of framed rank r torsion-free sheaves on the complex projective plane. The top non-vanishing Chern classes of the cohomology of these complexes yield actions of the r-colored Heisenberg and Clifford algebras on the equivariant cohomology of the moduli spaces. In this way we obtain a geometric realization of the boson-fermion correspondence and related vertex operators.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-19T22:12:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "17B69"
    ],
    "keywords": [
      "moduli spaces",
      "framed torsion-free sheaves",
      "complexes yield actions",
      "define complexes",
      "geometric realization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4010L"
    }
  }
}