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Lagrangian cobordism
of positroid links
Johan Asplund, Youngjin Bae, Orsola Capovilla-Searle, Marco Castronovo, Caitlin Leverson and Angela Wu |
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Vol. 332 (2024), No. 1, 1–21
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DOI: 10.2140/pjm.2024.332.1
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Abstract |
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Positroid strata of the complex Grassmannian can be realized 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
positroid link, Lagrangian cobordism, positroid stratum,
Legendrian link, augmentation variety
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Mathematical Subject Classification
Primary: 57K33, 57K43
Secondary: 14M15
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Milestones
Received: 6 March 2024
Revised: 17 August 2024
Accepted: 7 October 2024
Published: 20 November 2024
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Authors |
| Johan Asplund | |
| Department of Mathematics Stony Brook University Stony Brook, NY United States |
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| Youngjin Bae | |
| Department of Mathematics Incheon National University Incheon South Korea |
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| Orsola Capovilla-Searle | |
| Department of Mathematics University of California Davis Davis, CA United States |
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| Marco Castronovo | |
| Department of Mathematics Columbia University New York, NY United States |
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| Caitlin Leverson | |
| Mathematics Program Bard College Annandale-on-Hudson, NY United States |
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| Angela Wu | |
| Department of Mathematics Bucknell University Lewisburg, PA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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