A combinatorial skewing formula for the Rise Delta Theorem
Combinatorics
2024-08-23 v1
Abstract
We prove that the symmetric function appearing in the Delta Conjecture can be obtained from the symmetric function in the Rational Shuffle Theorem by applying a Schur skewing operator. This generalizes a formula by the first and third authors for the Delta Conjecture at , and follows from work of Blasiak, Haiman, Morse, Pun, and Seelinger. Our main result is that we also provide a purely combinatorial proof of this skewing identity, giving a new proof of the Rise Delta Theorem from the Rational Shuffle Theorem.
Keywords
Cite
@article{arxiv.2408.12543,
title = {A combinatorial skewing formula for the Rise Delta Theorem},
author = {Maria Gillespie and Eugene Gorsky and Sean T. Griffin},
journal= {arXiv preprint arXiv:2408.12543},
year = {2024}
}