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Bibliographic Details
Main Authors: Gillespie, Maria, Gorsky, Eugene, Griffin, Sean T.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.12543
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Table of Contents:
  • We prove that the symmetric function $Δ'_{e_{k-1}}e_n$ 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 $t=0$, 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.