Mirror Symmetry of Calabi-Yau Manifolds and Flat Coordinates

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X97002644

We study mirror symmetry of Calabi-Yau manifolds within the framework of the Gauss-Manin system. Applying the flat coordinates to the Gauss-Manin system for the periods, we derive differential equations for the mirror map in addition to the ordinary Picard-Fuchs equations for the periods. These equations are obtained for a class of one-parameter models and a two-parameter model of Fermat type Calabi-Yau manifolds.

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