The generalized Delta conjecture at t=0

Abstract

We prove the cases q=0 and t=0 of the generalized Delta conjecture of Haglund, Remmel and Wilson involving the symmetric function ${\Delta }_{h_m}{\Delta }_{e_{n-k-1}}^{\prime }{e}_n$. Our theorem generalizes recent results by Garsia, Haglund, Remmel and Yoo. This proves also the case q=0 of our recent generalized Delta square conjecture.

21 pages, 3 figures

References in corpus (3)

• A proof of the Delta Conjecture when $q=0$
• Hall-Littlewood expansions of Schur delta operators at $t=0$
• Decorated Dyck paths, the Delta conjecture, and a new q,t-square

Cited by in corpus (4)

• Decorated Dyck paths, polyominoes, and the Delta conjecture
• A valley version of the Delta square conjecture
• Some consequences of the valley Delta conjectures
• The valley version of the Extended Delta Conjecture