Lagrangian Torus Fibrations and Mirror Symmetry of Calabi-Yau Manifolds

Details Lagrangian Torus Fibrations and Mirror Symmetry of Calabi-Yau Manifolds Lagrangian Torus Fibrations and Mirror Symmetry of Calabi-Yau Manifolds

2001-03-31

arxiv.org/abs/math/0104010v1

Mathematics

Differential Geometry

Scientific paper

In this paper we summarize our recent work in the construction of Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties and the symplectic Strominger-Yau-Zaslow conjecture, together with some new development. It is submittded to the Proceedings of the Conference in Symplectic Geometry and Mirror Symmetry held in KIAS, Seoul, Korea. The paper was finished in Jan. 2001, with revisions and added reference.

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