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Academic paper

The Chow Polynomial of the Noncrossing Partition Lattice

Authors: Joseph Chun, Natsuka Hayashida, Ethan Partida, Zhixing WangPublished: 2026-08-04Paper ID: 2608.03806Category: math.COLicense: CC BY 4.0

Abstract

We prove that the Chow polynomial of the noncrossing partition lattice is equal to the descent generating function of tieless parking functions. As a consequence, we obtain new results on the descent statistic for parking functions.

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