Positroid varieties and cluster algebras
arXiv:1906.03501
Abstract
We show that the coordinate ring of an open positroid variety coincides with the cluster algebra associated to a Postnikov diagram. This confirms conjectures of Postnikov, Muller--Speyer, and Leclerc, and generalizes results of Scott and Serhiyenko--Sherman-Bennett--Williams.
22 pages, 7 figures. Final version to appear in Ann. Sci. Éc. Norm. Supér