{
  "id": "hep-th/0404043",
  "version": "v4",
  "published": "2004-04-06T05:41:21.000Z",
  "updated": "2005-12-22T06:15:54.000Z",
  "title": "Central charges, symplectic forms, and hypergeometric series in local mirror symmetry",
  "authors": [
    "Shinobu Hosono"
  ],
  "comment": "35 pages, AMSLatex; v2: typos corrected and minor corrections, v3: construction of cycles in Appendix A completed, v4: typos corrected, To appear in \"Mirror Symmetry V\", Proceedings of BIRS workshop on Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003",
  "categories": [
    "hep-th",
    "math.AG"
  ],
  "abstract": "We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states and study its monodromy property from the viewpoint of Kontsevich's homological mirror symmetry. In the case of local mirror symmetry, we will identify a symplectic form, and will conjecture an integral and symplectic monodromy property of a relevant hypergeometric series of Gel'fand-Kapranov-Zelevinski type.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2005-12-22T06:15:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local mirror symmetry",
      "symplectic form",
      "relevant hypergeometric series",
      "kontsevichs homological mirror symmetry",
      "symplectic monodromy property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 647725,
      "adsabs": "2004hep.th....4043H"
    }
  }
}