Homogeneous coordinate rings and mirror symmetry for toric varieties

Abstract

Given a smooth toric variety X and an ample line bundle O(1), we construct a sequence of Lagrangian submanifolds of (C^*)^n with boundary on a level set of the Landau-Ginzburg mirror of X. The corresponding Floer homology groups form a graded algebra under the cup product which is canonically isomorphic to the homogeneous coordinate ring of X.

arXiv commentThis is the version published by Geometry & Topology on 24 August 2006

References in corpus (2)

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Mirror symmetry without corrections

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