Lagrangian cobordism of positroid links
Symplectic Geometry
2024-11-27 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2305.16232,
title = {Lagrangian cobordism of positroid links},
author = {Johan Asplund and Youngjin Bae and Orsola Capovilla-Searle and Marco Castronovo and Caitlin Leverson and Angela Wu},
journal= {arXiv preprint arXiv:2305.16232},
year = {2024}
}
Comments
18 pages, 14 figures. Final version to appear in Pacific J. Math