Braid variety cluster structures, I: 3D plabic graphs

Pavel Galashin,Thomas Lam,Melissa Sherman-Bennett,David Speyer

arxiv（2022）

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摘要

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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关键词

graphs,structures,3d

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