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arXiv · 2210.04778

Braid variety cluster structures, I: 3D plabic graphs

Pavel Galashin·Thomas Lam·Melissa Sherman-Bennett·David Speyer
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Abstract

We introduce $3$-dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type $A$ braid varieties. Our results include known cluster structures on open positroid varieties and double Bruhat cells, and establish new cluster structures for type $A$ open Richardson varieties.

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Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett, David Speyer. 2024-05-29. Braid variety cluster structures, I: 3D plabic graphs. https://arxiv.org/abs/2210.04778

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