Mirror symmetry and actions of braid groups on derived categories

Abstract

Talk given at Harvard, January 1999, published in the Proceedings of the Harvard Winter School on mirror symmetry, vector bundles and lagrangian cycles, 1999, International Press. Surveys the joint work [ST, KS] with Paul Seidel and Mikhail Khovanov.

15 pages, 4 figures

References in corpus (3)

• Semiorthogonal decomposition for algebraic varieties
• Fukaya category and Fourier transform
• Geometric quantization and mirror symmetry

Cited by in corpus (10)

• D-branes, Categories and N=1 Supersymmetry
• Hypergeometric functions and mirror symmetry in toric varieties
• Generalized complexes and string field theory
• Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau
• Derived Category Automorphisms from Mirror Symmetry
• Some Navigation Rules for D-Brane Monodromy
• Mirror Symmetry on Kummer Type K3 Surfaces
• D-Brane Monodromies, Derived Categories and Boundary Linear Sigma Models
• Nahm transform of doubly-periodic instantons
• On Computational Aspects of the Fourier-Mukai Transform