Special Lagrangian fibrations, wall-crossing, and mirror symmetry

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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.
45 pages; to appear in Surveys in Differential Geometry

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