SYZ mirror symmetry for toric varieties

Abstract

We survey recent developments in the study of SYZ mirror symmetry for compact toric and toric Calabi-Yau varieties, with a special emphasis on works of the author and his collaborators.

v3: 27 pages, 4 figures; a few minor corrections and updated references; to appear in 'Handbook for Mirror Symmetries of Calabi-Yau and Fano Manifolds'

References in corpus (5)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
• Canonical Coordinates in Toric Degenerations
• Local mirror symmetry in the tropics
• A relation for Gromov-Witten invariants of local Calabi-Yau threefolds

Cited by in corpus (4)

• Moment maps, nonlinear PDE, and stability in mirror symmetry
• Homological mirror symmetry for log Calabi-Yau surfaces
• Aspects of functoriality in homological mirror symmetry for toric varieties
• Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties