Positroid cluster structures from relabeled plabic graphs
Positroid cluster structures from relabeled plabic graphs
The Grassmannian is a disjoint union of open positroid varieties Π μ ∘ , certain smooth irreducible subvarieties whose definition is motivated by total positivity. The coordinate ring ℂ[Π μ ∘ ] is a cluster algebra, and each reduced plabic graph G for Π μ ∘ determines a cluster. We …