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-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.
Final version. 75 pages, 12 figures

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Symplectic Geometry, Algebraic Geometry, Geometric Topology, 14J32 (Primary), 53D40, 58E05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/227781

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610004
 http://arxiv.org/abs/math/0610004

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arXiv