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arXiv · 2608.03806

The Chow Polynomial of the Noncrossing Partition Lattice

Joseph Chun·Natsuka Hayashida·Ethan Partida·Zhixing Wang
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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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Joseph Chun, Natsuka Hayashida, Ethan Partida, Zhixing Wang. 2026-08-04. The Chow Polynomial of the Noncrossing Partition Lattice. https://arxiv.org/abs/2608.03806

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