Morse Homology, Tropical Geometry, and Homological Mirror Symmetry for Toric Varieties

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dc.creatorAbouzaid, Mohammed
dc.date2006-09-29
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:26Z
dc.date.available2026-07-07T13:06:26Z
dc.descriptionGiven 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.
dc.descriptionFinal version. 75 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0610004
dc.identifierhttp://arxiv.org/abs/math/0610004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227781
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14J32 (Primary), 53D40, 58E05 (Secondary)
dc.titleMorse Homology, Tropical Geometry, and Homological Mirror Symmetry for Toric Varieties
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