{
  "id": "math/0412328",
  "version": "v2",
  "published": "2004-12-16T17:22:07.000Z",
  "updated": "2005-01-18T12:05:33.000Z",
  "title": "Fourier Mukai Transforms and Applications to String Theory",
  "authors": [
    "Bjorn Andreas",
    "Daniel Hernandez Ruiperez"
  ],
  "comment": "52 pages. To appear in Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. Minor changes, reference of conjecture in section 7.5 changed, references updated",
  "journal": "Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005) 29-77",
  "categories": [
    "math.AG",
    "hep-th"
  ],
  "abstract": "We give an introductory review of Fourier-Mukai transforms and their application to various aspects of moduli problems, string theory and mirror symmetry. We develop the necessary mathematical background for Fourier-Mukai transforms such as aspects of derived categories and integral functors as well as their relative version which becomes important for making precise the notion of fiberwise T-duality on elliptic Calabi-Yau threefolds. We discuss various applications of the Fourier-Mukai transform to D-branes on Calabi-Yau manifolds as well as homological mirror symmetry and the construction of vector bundles for heterotic string theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-18T12:05:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14J32",
      "18E30",
      "81T30",
      "83E30"
    ],
    "keywords": [
      "fourier mukai transforms",
      "application",
      "fourier-mukai transform",
      "elliptic calabi-yau threefolds",
      "calabi-yau manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 667425,
      "adsabs": "2004math.....12328A"
    }
  }
}