Cho, YunhyungKim, Yoosik2018-05-232018-05-23Yunhyung Cho, Y Kim. "Monotone Lagrangians in flag varieties."https://hdl.handle.net/2144/29007https://arxiv.org/abs/1801.07554In 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 S1-action. Using the formula, we classify all monotone Lagrangian non-toric fibers of Gefland-Cetlin systems on partial flag manifolds.Symplectic geometryArticle