New combinatorial formulations of the shuffle conjecture

DOI10.1016/j.aam.2013.12.003zbMath1300.05314OpenAlexW2074692264WikidataQ122893775 ScholiaQ122893775MaRDI QIDQ401502

Nicholas A. Loehr, Elizabeth Niese

Publication date: 27 August 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2013.12.003

zbMATH Keywords

diagonal harmonicsparking functionslabeled Dyck paths

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (2)

A proof of the shuffle conjecture ⋮ A Combinatorial Approach to the Symmetry of $q,t$-Catalan Numbers

Cites Work

• Unnamed Item
• Hyperplane arrangements and diagonal harmonics
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• A combinatorial formula for the character of the diagonal coinvariants
• Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonic modules
• Combinatorics of \(q\), \(t\)-parking functions
• A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
• Nested Quantum Dyck Paths and  (s )
• Hall–Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics

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