Positroid varieties and cluster algebras

By Pavel Galashin, Thomas Lam. Annales Scientifiques de l'Ecole Normale Supérieure, 2019

59 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/419187ad290c73d564c4793e2ffd150a8180fca4