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On homological mirror symmetry of toric Calabi–Yau threefolds
We use Lagrangian torus fibrations on the mirror X of a toric Calabi-Yau threefold X to construct Lagrangian sections and various Lagrangian spheres on X.We then propose an explicit correspondence between the sections and line bundles on X and between spheres and sheaves supported on the toric divisors of X.We …