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arXiv 2008-08-11 0 views

On SYZ mirror transformations

Chan, Kwokwai · Leung, Naichung Conan

Original · EN

In this expository paper, we discuss how Fourier-Mukai-type transformations, which we call SYZ mirror transformations, can be applied to provide a geometric understanding of the mirror symmetry phenomena for semi-flat Calabi-Yau manifolds and toric Fano manifolds. We also speculate the possible applications of these transformations to other more general settings.

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