Morse Homology, Tropical Geometry, and Homological Mirror Symmetry for Toric Varieties
Mohammed Abouzaid
Abstract
Given a smooth projective toric variety X, we construct an A-infinity category of Lagrangians with boundary on a level set of the Landau-Ginzburg mirror of X. We prove that this category is quasi-equivalent to the DG category of line bundles on X. This establishes part of the Homological Mirror Conjecture for toric varieties.
Create a lesson
Related papers
Non-decomposable Lagrangian endoconcordances and Khovanov homology
Roman Golovko
A proof of the Arnold-Givental conjecture
Shaoyun Bai, Egor Shelukhin, Yi Wang et al.
Vanishing of higher Legendrian homology for rainbow closures
Roger Casals, Alexander Simons
Limits of quantization from mixed to real polarizations on toric varieties
Dan Wang, Yutung Yau
bk-Symplectic Manifolds and [Q,R]=0
Ahmad Reza Haj Saeedi Sadegh
Floer-theoretic entropy of exact symplectomorphisms
Joontae Kim, Myeonggi Kwon