Angela Wu - Lagrangian cobordism of postroid links
October 29, 2026
Abstract
The Legendrian contact homology differential graded algebra can be computed from a Legendrian knot: its augmentations form an algebraic variety called the augmentation variety. Positroid varieties are irreducible subvarieties of the complex Grassmannian. Positroid links are Legendrian links whose augmentation varieties are related to the strata by an algebraic isomorphism. In work with Asplund, Bae, Capovilla-Searle, Castronovo and Leverson, we show that the Legendrian links corresponding to adjacent positroid strata are related by exact Lagrangian cobordisms.