, Volume 15, Issue 2, pp 189-270
Date: 13 Jun 2009

Morse homology, tropical geometry, and homological mirror symmetry for toric varieties

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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.