Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties
Symplectic Geometry
2019-11-01 v2 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We construct pseudotoric structures (\`{a} la Tyurin) on the two-step flag variety , and explain a general relation between pseudotoric structures and special Lagrangian torus fibrations, the latter of which are important in the study of SYZ mirror symmetry. As an application, we speculate how our constructions can explain the number of terms in the superpotential of Rietsch's Landau-Ginzburg mirror.
Keywords
Cite
@article{arxiv.1811.09774,
title = {Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties},
author = {Kwokwai Chan and Naichung Conan Leung and Changzheng Li},
journal= {arXiv preprint arXiv:1811.09774},
year = {2019}
}
Comments
21 pages; v2: minor corrections and references added