Bumpless pipe dreams and alternating sign matrices

DOI10.1016/j.jcta.2021.105470zbMath1475.05172arXiv2003.07342OpenAlexW3161603552MaRDI QIDQ2037178

Anna E. Weigandt

Publication date: 30 June 2021

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

Full work available at URL: https://arxiv.org/abs/2003.07342

zbMATH Keywords

alternating sign matricesGrothendieck polynomialsbumpless pipe dreams

Mathematics Subject Classification ID

Graph polynomials (05C31) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Related Items (16)

Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials ⋮ Diagonal degenerations of matrix Schubert varieties ⋮ Bijective proofs of Monk's rule for Schubert and double Schubert polynomials with bumpless pipe dreams ⋮ Double Grothendieck polynomials and colored lattice models ⋮ Frozen pipes: lattice models for Grothendieck polynomials ⋮ Bumpless pipe dreams encode Gröbner geometry of Schubert polynomials ⋮ Lenart's bijection via bumpless pipe dreams ⋮ A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions ⋮ Set-valued Rothe tableaux and Grothendieck polynomials ⋮ Bijective proofs of Monk's rule for Schubert and double Schubert polynomials with bumpless pipe dreams ⋮ Gröbner geometry of Schubert polynomials through ice ⋮ Gröbner geometry of Schubert polynomials through ice ⋮ Symmetries of stochastic colored vertex models ⋮ Pipe dreams for Schubert polynomials of the classical groups ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties ⋮ An orthodontia formula for Grothendieck polynomials

Cites Work

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• Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
• On the weighted enumeration of alternating sign matrices and descending plane partitions
• Alternating-sign matrices and domino tilings. II
• Gröbner geometry of Schubert polynomials
• Osculating paths and oscillating tableaux
• Flagged Schur functions, Schubert polynomials, and symmetrizing operators
• Determinants and alternating sign matrices
• Using Schubert basis to compute with multivariate polynomials
• Lattices and bases of Coxeter groups
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• A unified approach to combinatorial formulas for Schubert polynomials
• Subword complexes in Coxeter groups.
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• A \(K\)-theory version of Monk's formula and some related multiplication formulas
• Alternating sign matrices
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Stable Grothendieck polynomials and \(K\)-theoretic factor sequences
• Prism tableaux for alternating sign matrix varieties
• Keys and alternating sign matrices
• Principal specializations of Schubert polynomials and pattern containment
• Excited Young diagrams and equivariant Schubert calculus
• Colored five‐vertex models and Lascoux polynomials and atoms
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials
• Back stable Schubert calculus
• Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
• Grothendieck polynomials via permutation patterns and chains in the Bruhat order

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