On non-displaceable Lagrangian submanifolds in two-step flag varieties
Abstract
We prove that the two-step flag variety F(1,n;n+1) carries a non-displaceable and non-monotone Lagrangian Gelfand--Zeitlin fiber diffeomorphic to S3 × T2n-4 and a continuum family of non-displaceable Lagrangian Gelfand--Zeitlin torus fibers when n > 2.
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