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

Lagrangian Tori Fibration of Toric Calabi-Yau manifold III: Symplectic topological SYZ mirror construction for general quintics
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Toric Calabi-Yau 流形的拉格朗日 Tori 纤维化 III:一般五次方程的辛拓扑 SYZ 镜像结构

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发表时间:
1999
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通讯作者:
Wei
Wei
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作者:
Wei

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本文利用梯度流方法构造了一般五次超曲面在大复极限附近的Lagrange环面纤维化及其镜像流形。然后证明了这类辛流形的Strominger-Yau-Zaslow镜像猜想。
In this article we construct Lagrangian torus fibrations for general quintic cy 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 cy manifolds in symplectic category.