A proof of the compositional Delta conjecture
Michele D'Adderio, Anton Mellit

TL;DR
This paper proves a refined version of the Delta conjecture related to symmetric functions, specifically addressing a compositional aspect of the rise version, advancing understanding in algebraic combinatorics.
Contribution
It provides a proof of a compositional refinement of the Delta conjecture for the symmetric function $ abla_{e_{n-k-1}}' e_n$, connecting Theta operators and combinatorial conjectures.
Findings
Proof of the compositional Delta conjecture (rise version)
Connection established between Theta operators and symmetric functions
Advancement in algebraic combinatorics understanding
Abstract
We prove a compositional refinement of the Delta conjecture (rise version) of Haglund, Remmel and Wilson (2018) for which was stated by D'Adderio, Iraci and Vanden Wyngaerd (2020) in terms of Theta operators.
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