A proof of the compositional Delta conjecture

Abstract

We prove a compositional refinement of the Delta conjecture (rise version) of Haglund, Remmel and Wilson (2018) for ${\Delta }_{e_{n-k-1}}^{\prime }{e}_n$ which was stated by D'Adderio, Iraci and Vanden Wyngaerd (2020) in terms of Theta operators.

11 pages, 4 pictures