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Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds

About this Title

Cumrun Vafa, Harvard University, Cambridge, MA and S.-T. Yau, Harvard University, Cambridge, MA, Editors

Publication: AMS/IP Studies in Advanced Mathematics
Publication Year: 2001; Volume 23
ISBNs: 978-0-8218-2159-6 (print); 978-1-4704-3813-5 (online)
DOI: https://doi.org/10.1090/amsip/023
MathSciNet review: MR1876062
MSC: Primary 00B25; Secondary 14-06, 32-06, 53-06

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Table of Contents

Front/Back Matter

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Chapters

• Exceptional mirror symmetry
• Floer homology and mirror symmetry I
• On the gauge theory/geometry correspondence
• Special Lagrangian fibrations I: Topology
• Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations
• Lectures on special Lagrangian submanifolds
• Local mirror symmetry at higher genus
• From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform
• $N = 1$ heterotic string vacua from mirror symmetry
• Homological mirror symmetry with higher products
• Fukaya category and Fourier transform
• Categorical mirror symmetry in the elliptic curve
• Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case
• Mirror symmetry is T-duality
• Derived categories for the working mathematician
• Mirror symmetry and actions of braid groups on derived categories

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