Communications in Mathematical Physics

, Volume 167, Issue 2, pp 301–350 | Cite as

Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces

  • S. Hosono
  • A. Klemm
  • S. Thiesen
  • S-T Yau


Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for which the mirror manifold had been unavailable in previous constructions. Mirror maps and Yukawa couplings are explicitly given for several examples with two and three moduli.


Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • S. Hosono
    • 1
  • A. Klemm
    • 2
  • S. Thiesen
    • 2
  • S-T Yau
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA
  2. 2.Sektion Physik der Universität MünchenMünchenGermany

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