{
  "id": "math/0601352",
  "version": "v2",
  "published": "2006-01-14T03:10:38.000Z",
  "updated": "2006-01-19T05:12:59.000Z",
  "title": "Flop invariance of the topological vertex",
  "authors": [
    "Yukiko Konishi",
    "Satoshi Minabe"
  ],
  "comment": "v1:18 pages. v2:A comment above lemma 2.6 and remark 4.5 are added",
  "journal": "Int.J.Math.19:27-45,2008",
  "doi": "10.1142/S0129167X08004546",
  "categories": [
    "math.AG",
    "hep-th"
  ],
  "abstract": "We prove transformation formulae for generating functions of Gromov-Witten invariants on general toric Calabi-Yau threefolds under flops. Our proof is based on a combinatorial identity on the topological vertex and analysis of fans of toric Calabi-Yau threefolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-19T05:12:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "05E05"
    ],
    "keywords": [
      "topological vertex",
      "flop invariance",
      "general toric calabi-yau threefolds",
      "combinatorial identity",
      "gromov-witten invariants"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 708737,
      "adsabs": "2006math......1352K"
    }
  }
}