Monotone Lagrangians in flag varieties
arXiv:1801.07554 · doi:10.1093/imrn/rnz227
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.
33pages, 20 figures. To appear in IMRN