Monotone Lagrangians in flag varieties
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Citation (published version)Yunhyung Cho, Y Kim. "Monotone Lagrangians in flag varieties."
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 S1-action. Using the formula, we classify all monotone Lagrangian non-toric fibers of Gefland-Cetlin systems on partial flag manifolds.