The Coherent-Constructible Correspondence and Homological Mirror Symmetry for Toric Varieties
arXiv:0901.4276
Abstract
This is an expository article describing recent results of the authors and David Nadler on microlocalization, the Fukaya category, and coherent sheaves on toric varieties. The original papers are arXiv:math/0604379, arXiv:math/0612399 and arXiv:0811.1228v1.
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Cited by in corpus (11)
- Orlov and Viterbo functors in partially wrapped Fukaya categories
- Dual torus fibrations and homological mirror symmetry for A_n-singularities
- Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces
- Ribbon Graphs and Mirror Symmetry I
- Tilting bundles via the Frobenius morphism
- Categorical mirror symmetry on cohomology for a complex genus 2 curve
- SYZ transforms for immersed Lagrangian multi-sections
- Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties
- Homological mirror symmetry and Fourier-Mukai transform
- Exact Lefschetz fibrations associated with dimer models
- Complexifications of Morse functions and the directed Donaldson-Fukaya category