Special Lagrangian fibrations, wall-crossing, and mirror symmetry

Mathematics – Symplectic Geometry

Scientific paper

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45 pages; to appear in Surveys in Differential Geometry

Scientific paper

In this survey paper, we briefly review various aspects of the SYZ approach
to mirror symmetry for non-Calabi-Yau varieties, focusing in particular on
Lagrangian fibrations and wall-crossing phenomena in Floer homology. Various
examples are presented, some of them new.

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