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On non-displaceable Lagrangian submanifolds in two-step flag varieties

Published 3 Aug 2023 in math.SG | (2308.01636v1)

Abstract: We prove that the two-step flag variety $\mathcal{F}\ell(1,n;n+1)$ carries a non-displaceable and non-monotone Lagrangian Gelfand--Zeitlin fiber diffeomorphic to $S3 \times T{2n-4}$ and a continuum family of non-displaceable Lagrangian Gelfand--Zeitlin torus fibers when $n > 2$.

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Authors (1)

  1. Yoosik Kim 

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