Lagrangian Torus Fibration of Quintic Calabi-Yau Hypersurfaces III: Symplectic Topological Syz Mirror Construction for General Quintics
Ruan, Wei-Dong
J. Differential Geom., Tome 63 (2003) no. 1, p. 171-229 / Harvested from Project Euclid
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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.
Publié le : 2003-01-14
Classification:  
@article{1090426677,
     author = {Ruan, Wei-Dong},
     title = {Lagrangian Torus Fibration of Quintic Calabi-Yau Hypersurfaces III: Symplectic Topological Syz Mirror Construction for General Quintics},
     journal = {J. Differential Geom.},
     volume = {63},
     number = {1},
     year = {2003},
     pages = { 171-229},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090426677}
}

Ruan, Wei-Dong. Lagrangian Torus Fibration of Quintic Calabi-Yau Hypersurfaces III: Symplectic Topological Syz Mirror Construction for General Quintics. J. Differential Geom., Tome 63 (2003) no. 1, pp.  171-229. http://gdmltest.u-ga.fr/item/1090426677/