paper

Lagrangian cobordism of positroid links

arXiv:2305.16232 · doi:10.2140/pjm.2024.332.1

Abstract

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.

18 pages, 14 figures. Final version to appear in Pacific J. Math