{
  "id": "1201.2500",
  "version": "v5",
  "published": "2012-01-12T08:31:14.000Z",
  "updated": "2014-03-30T22:38:19.000Z",
  "title": "On fermionic representation of the Gromov-Witten invariants of the resolved Conifold",
  "authors": [
    "Fusheng Deng",
    "Jian Zhou"
  ],
  "comment": "This note is incorporated into the article \"Fermionic gluing principle of the topological vertex \", arXiv:1204.5067. arXiv admin note: text overlap with arXiv:1111.0415",
  "categories": [
    "math.AG",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the fermionic form of the generating function of the Gromov-Witten invariants of the resolved conifold is a Bogoliubov transform of the fermionic vacuum; in particular, it is a tau function of the KP hierarchy. Our proof is based on the gluing rule of the topological vertex and the formulas of the fermionic representations of the framed one-legged and two-legged topological vertex which were conjectured by Aganagic et al and proved in our recent work.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-03-30T22:38:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gromov-witten invariants",
      "fermionic representation",
      "resolved conifold",
      "topological vertex",
      "fermionic vacuum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1084400,
      "adsabs": "2012arXiv1201.2500D"
    }
  }
}