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Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces

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.

preprint1993arXivOpen access
S. HosonoA. KlemmS. TheisenS. -T. Yau
alg-geommath.AGhep-th
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S. HosonoA. KlemmS. TheisenS. -T. Yau

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