Lagrangian Tori Fibration of Toric Calabi-Yau manifold III: Symplectic topological SYZ mirror construction for general quintics

Abstract

In this article we construct Lagrangian torus fibrations for general quintic hypersurfaces near the large complex limit and their mirror manifolds using gradient flow method. Then we prove the Strominger-Yau-Zaslow mirror conjecture for this class of manifolds in symplectic category.

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