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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