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math.AGAug 30, 2006
authors
  • Charles F. Doran
  • Shinobu Hosono
arXiv abstractPDF
paper

On Stokes Matrices of Calabi-Yau hypersurfaces

arXiv:math/0608744

Abstract

We consider Laplace transforms of the Picard-Fuchs differential equations of Calabi-Yau hypersurfaces and calculate their Stokes matrices. We also introduce two different types of Laplace transforms of Gel'fand-Kapranov-Zelevinski hypergeometric systems.

arXiv comment21 pages, 2 figures

References in corpus (10)

  • Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
  • D-Branes And Mirror Symmetry
  • Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
  • Geometry and Integrability of Topological-Antitopological Fusion
  • Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, Kähler Potentials and Mirror Maps
  • Geometry and analytic theory of Frobenius manifolds
  • Homogeneous coordinate rings and mirror symmetry for toric varieties
  • Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces
  • Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
  • Mirror symmetry for weighted projective planes and their noncommutative deformations
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