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arXiv · 1801.07554

Monotone Lagrangians in flag varieties

Yunhyung Cho·Yoosik Kim
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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 $S^1$-action. Using the formula, we classify all monotone Lagrangian non-toric fibers of Gelfand-Cetlin systems on partial flag manifolds.

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Yunhyung Cho, Yoosik Kim. 2019-11-12. Monotone Lagrangians in flag varieties. https://doi.org/10.1093/imrn%2Frnz227

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