Counting weighted maximal chains in the circular Bruhat order

DOI10.1016/j.jcta.2022.105709zbMath1502.14116arXiv2108.03504OpenAlexW3190066128MaRDI QIDQ2680822

Gopal Goel, David Perkinson, Olivia McGough

Publication date: 4 January 2023

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

Full work available at URL: https://arxiv.org/abs/2108.03504

zbMATH Keywords

positroid\(k\)-Bruhat ordertotally nonnegative Grassmannianscircular Bruhat order

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• Enumeration of totally positive Grassmann cells
• A weighted enumeration of maximal chains in the Bruhat order
• Electroid varieties and a compactification of the space of electrical networks
• Affine permutations of type \(A\)
• Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
• Regularity theorem for totally nonnegative flag varieties
• Projections of Richardson varieties
• Grassmannian Geometry of Scattering Amplitudes
• Positroid varieties: juggling and geometry
• KP solitons, total positivity, and cluster algebras
• Shelling totally nonnegative flag varieties

This page was built for publication: Counting weighted maximal chains in the circular Bruhat order