Lagrangian Torus Fibration of Quintic Calabi-yau Hypersurfaces Iii: Symplectic Topological Syz Mirror Construction for General Quintics
نویسنده
چکیده
In this article we construct Lagrangian torus fibrations for general quintic Calabi-Yau hypersurfaces near the large complex limit and their mirror manifolds using gradient flowmethod. Then we prove the StromingerYau-Zaslow mirror conjecture for this class of Calabi-Yau manifolds in symplectic category.
منابع مشابه
S ep 1 99 9 Topological Mirror Symmetry
The Strominger-Yau-Zaslow conjecture proposes that mirror symmetry can be explained by the existence, in a mirror pair of Calabi-Yau manifolds, of dual special La-grangian T n-fibrations. (See [18,8,6,7] for further clarification of this conjecture.) Recently, Zharkov in [20] proved that non-singular Calabi-Yau hypersurfaces in toric varieties have topological T n-fibrations, and Ruan in [17] h...
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تاریخ انتشار 2004