A module for the Delta conjecture

Abstract

We define a module that is an extension of the diagonal harmonics and whose graded Frobenius characteristic is conjectured to be the symmetric function expression which appears in `the Delta conjecture' of Haglund, Remmel and Wilson [arXiv:1509.07058].

2 pages

References in corpus (2)

• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• A proof of the Delta Conjecture when $q=0$

Cited by in corpus (12)

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• Some implications of a conjecture of Zabrocki to the action of $S_n$ on polynomial differential forms
• Theta operators, refined Delta conjectures, and coinvariants
• The Bosonic-Fermionic Diagonal Coinvariant Modules Conjecture
• Spanning subspace configurations and representation stability
• A complete multipartite basis for the chromatic symmetric function
• Alternating super-polynomials and super-coinvariants of finite reflection groups
• Combinatorics of the Delta conjecture at q=-1
• Set partitions, fermions, and skein relations