paper

Braid variety cluster structures, I: 3D plabic graphs

arXiv:2210.04778

Abstract

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

v2: removed some arguments which appear in greater generality in the follow up paper arXiv:2301.07268. v3: Fixed minor typos

Braid variety cluster structures, I: 3D plabic graphs · wovepaper