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The Chow Polynomial of the Noncrossing Partition Lattice

Joseph Chun, Natsuka Hayashida, Ethan Partida, Zhixing Wang

math.COarXiv:2608.03806

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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