1999/09/30 by Wei-Dong Ruan
Mathematics · #math.DG #math.AG
published as Journal of Differential Geometry, Volume 63 (2003), 171--229 · 54 pages, 12 figures. Updated version as published
arxiv created 2004/11/11 · arxiv updated 2009/11/30
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.