Surveys in Differential Geometry

Volume 13 (2008)

Special Lagrangian fibrations, wall-crossing, and mirror symmetry

Pages: 1 – 48

DOI: https://dx.doi.org/10.4310/SDG.2008.v13.n1.a1

Author

Denis Auroux (Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, U.S.A.)

Abstract

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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Published 1 January 2008