Morse homology, tropical geometry, and homological mirror symmetry for toric varieties
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- Abouzaid, M. Sel. Math. New Ser. (2009) 15: 189. doi:10.1007/s00029-009-0492-2
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Given a smooth projective toric variety X, we construct an A∞ 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.