Positroid varieties and cluster algebras
Pavel Galashin, Thomas Lam
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.
Topics & Concepts
MathematicsCluster (spacecraft)Pure mathematicsCluster algebraAlgebra over a fieldComputer sciencePhysicsQuantumQuantum mechanicsProgramming languageAdvanced Algebra and GeometryAlgebraic structures and combinatorial modelsAlgebraic Geometry and Number Theory