Homogeneous coordinate rings and mirror symmetry for toric varieties
arXiv:math/0511644 · doi:10.2140/gt.2006.10.1097
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.
This is the version published by Geometry & Topology on 24 August 2006