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arXiv · 2305.16232

Lagrangian cobordism of positroid links

Johan Asplund·Youngjin Bae·Orsola Capovilla-Searle·Marco Castronovo·Caitlin Leverson·Angela Wu
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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.

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Johan Asplund, Youngjin Bae, Orsola Capovilla-Searle, Marco Castronovo, Caitlin Leverson, Angela Wu. 2023-05-25. Lagrangian cobordism of positroid links. https://doi.org/10.2140/pjm.2024.332.1

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