Mirror duality of Landau-Ginzburg models via Discrete Legendre Transforms
Algebraic Geometry
2013-03-19 v2 Symplectic Geometry
Abstract
We introduce a duality of Landau-Ginzburg models based on the notion of the discrete Legendre transform given by Gross-Siebert. It generalizes the duality used to construct mirrors of complete intersections in toric varieties in a recent joint work with Gross and Katzarkov. We discuss how it appears as a limit version of the semi-flat Strominger-Yau-Zaslow construction of mirror symmetry with potential given as the obstruction in Floer theory.
Keywords
Cite
@article{arxiv.1204.5611,
title = {Mirror duality of Landau-Ginzburg models via Discrete Legendre Transforms},
author = {Helge Ruddat},
journal= {arXiv preprint arXiv:1204.5611},
year = {2013}
}
Comments
30 pages, 13 figures