Green-to-red sequences for positroids

DOI10.1016/j.jcta.2018.06.001zbMath1392.05119arXiv1610.01695OpenAlexW2621105462MaRDI QIDQ724999

Khrystyna Serhiyenko, Nicolas Ford

Publication date: 26 July 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01695

zbMATH Keywords

positroidquiver mutationLe-diagramgreen-to-red sequenceplabic graph

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (5)

Reddening sequences for Banff quivers and the class \(\mathcal{P}\) ⋮ Positroid varieties and cluster algebras ⋮ Universal quivers ⋮ Combinatorics of cluster structures in Schubert varieties ⋮ Building maximal green sequences via component preserving mutations

Cites Work

• Cluster structures on strata of flag varieties
• BPS quivers and spectra of complete \(\mathcal N =2\) quantum field theories
• Skew-symmetric cluster algebras of finite mutation type
• \(\mathcal A = \mathcal U\) for locally acyclic cluster algebras
• Cluster algebras. II: Finite type classification
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• The existence of a maximal Green sequence is not invariant under quiver mutation
• Twists of Plücker coordinates as dimer partition functions
• Cluster algebras I: Foundations
• On cluster algebras from unpunctured surfaces with one marked point
• Cluster algebras of Grassmannians are locally acyclic
• Positroid varieties: juggling and geometry
• Quantum cluster algebras and quantum nilpotent algebras
• On Maximal Green Sequences
• GRASSMANNIANS AND CLUSTER ALGEBRAS
• Quivers with potentials and their representations II: Applications to cluster algebras

This page was built for publication: Green-to-red sequences for positroids