Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON NON-DISPLACEABLE LAGRANGIAN SUBMANIFOLDS IN TWO-STEP FLAG VARIETIES

  • Yoosik Kim (Department of Mathematics and Institute of Mathematical Science Pusan National University)
  • Received : 2023.02.22
  • Accepted : 2023.07.19
  • Published : 2023.09.01
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Abstract

We prove that the two-step flag variety 𝓕ℓ(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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References

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