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 \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.

arXiv comment54 pages, 12 figures. Updated version as published

References in corpus (4)

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• The moduli space of special Lagrangian submanifolds
• Lagrangian torus fibration and mirror symmetry of Calabi-Yau hypersurface in toric variety
• Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case

Cited by in corpus (3)

• On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds
• Geometric Aspects of Mirror Symmetry (with SYZ for Rigid CY manifolds)
• Singularities of special Lagrangian fibrations and the SYZ Conjecture