Monotone Lagrangians in flag varieties
Symplectic Geometry
2019-11-13 v3
Abstract
In this paper, we give a formula for the Maslov index of a gradient holomorphic disc, which is a relative version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian -action. Using the formula, we classify all monotone Lagrangian non-toric fibers of Gelfand-Cetlin systems on partial flag manifolds.
Cite
@article{arxiv.1801.07554,
title = {Monotone Lagrangians in flag varieties},
author = {Yunhyung Cho and Yoosik Kim},
journal= {arXiv preprint arXiv:1801.07554},
year = {2019}
}
Comments
33pages, 20 figures. To appear in IMRN