论文标题

编织品种群集结构,I:3D Plabic图

Braid variety cluster structures, I: 3D plabic graphs

论文作者

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

论文摘要

我们介绍了$ 3 $维尼科夫的典范概括,并使用它们来建立$ a $ braid品种类型的集群结构。我们的结果包括开放式阳性品种和双重bruhat细胞上的已知群集结构,并为$ a $ a $开放式richardson品种建立新的群集结构。

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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