Open Access
February, 2003 Lagrangian Torus Fibration of Quintic Calabi-Yau Hypersurfaces III: Symplectic Topological Syz Mirror Construction for General Quintics
Wei-Dong Ruan
J. Differential Geom. 63(2): 171-229 (February, 2003). DOI: 10.4310/jdg/1090426677

Abstract

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 flow method. Then we prove the Strominger-Yau-Zaslow mirror conjecture for this class of Calabi-Yau manifolds in symplectic category.

Citation

Download Citation

Wei-Dong Ruan. "Lagrangian Torus Fibration of Quintic Calabi-Yau Hypersurfaces III: Symplectic Topological Syz Mirror Construction for General Quintics." J. Differential Geom. 63 (2) 171 - 229, February, 2003. https://doi.org/10.4310/jdg/1090426677

Information

Published: February, 2003
First available in Project Euclid: 21 July 2004

zbMATH: 1079.14528
MathSciNet: MR2015547
Digital Object Identifier: 10.4310/jdg/1090426677

Rights: Copyright © 2003 Lehigh University

Vol.63 • No. 2 • February, 2003
Back to Top