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

Details 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

1999-09-22

arxiv.org/abs/math/9909126v2

Journal of Differential Geometry, Volume 63 (2003), 171--229

Mathematics

Differential Geometry

54 pages, 12 figures. Updated version as published

Scientific paper

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.

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