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

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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CommMathPhy167-1995.pdf
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Citation

Hosono, S., Klemm, A., Theisen, S., & Yau, S.-T. (1995). Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces. Communications in Mathematical Physics, 167(2), 301-350. doi:10.1007/BF02100589.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5BB1-4
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.