Acyclic orientations and Hessenberg varieties
arxiv(2024)
摘要
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.
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