Homogeneous coordinate rings and mirror symmetry for toric varieties
Symplectic Geometry
2009-03-01 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0511644,
title = {Homogeneous coordinate rings and mirror symmetry for toric varieties},
author = {Mohammed Abouzaid},
journal= {arXiv preprint arXiv:math/0511644},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 24 August 2006