LAGRANGIAN COBORDISM OF POSITROID LINKS

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

doi:10.2140/pjm.2024.332.1

LAGRANGIAN COBORDISM OF POSITROID LINKS

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

Mathematics

Incheon National University
University of California at Davis
Columbia University
Bard College
Bucknell University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Pacific Journal of Mathematics
Volume	332
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2024.332.1
State	Published - 2024

Keywords

Lagrangian cobordism
Legendrian link
augmentation variety
positroid link
positroid stratum

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10.2140/pjm.2024.332.1

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abstract = "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 = "Lagrangian cobordism, Legendrian link, augmentation variety, positroid link, positroid stratum",

author = "Johan Asplund and Youngjin Bae and Orsola Capovilla-Searle and Marco Castronovo and Caitlin Leverson and Angela Wu",

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AU - Asplund, Johan

AU - Bae, Youngjin

AU - Capovilla-Searle, Orsola

AU - Castronovo, Marco

AU - Leverson, Caitlin

AU - Wu, Angela

N1 - Publisher Copyright: © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Lagrangian cobordism

KW - Legendrian link

KW - augmentation variety

KW - positroid link

KW - positroid stratum

UR - https://www.scopus.com/pages/publications/85211079490

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DO - 10.2140/pjm.2024.332.1

M3 - Article

AN - SCOPUS:85211079490

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SP - 1

EP - 21

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

LAGRANGIAN COBORDISM OF POSITROID LINKS

Abstract

Keywords

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