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Bibliographic Details
Main Authors: Novelli, Jean-Christophe, Thibon, Jean-Yves
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.11165
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Table of Contents:
  • We exhibit a bijection between acyclic orientations of a Dyck graph and Tymoczko cells of a regular nilpotent Hessenberg variety. This implies the Shareshian-Wachs formula for the sum of the coefficients of the chromatic quasi-symmetric function of a Dyck graph in the elementary basis.