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

Communications in Mathematical PhysicsPublished 1 February 1995Open access
Shinobu Hosono, Albrecht Klemm, S. Thiesen, S-T Yau
Citations433
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Abstract

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.

Keywords

MathematicsPhysics and Astronomy