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Lagrangian cobordism of positroid links. arXiv:2305.16232

Preprint, arXiv:2305.16232 [math.SG] (2023).
Summary: Casals-Gorsky-Gorsky-Simental realized all positroid strata of the complex Grassmannian as augmentation varieties of Legendrians called positroid links. We prove that the partial order on strata induced by Zariski closure also has a symplectic interpretation, given by exact Lagrangian cobordism.

MSC:

53D12 Lagrangian submanifolds; Maslov index
57K33 Contact structures in 3 dimensions
14M15 Grassmannians, Schubert varieties, flag manifolds
13F60 Cluster algebras
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