The Chow Polynomial of the Noncrossing Partition Lattice

Joseph Chun; Natsuka Hayashida; Ethan Partida; Zhixing Wang

The Chow Polynomial of the Noncrossing Partition Lattice

Combinatorics 2026-08-04 v1

Authors: Joseph Chun , Natsuka Hayashida , Ethan Partida , Zhixing Wang

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.

Keywords

Chow polynomial noncrossing partition lattice parking functions descent statistic

Cite

@article{arxiv.2608.03806,
  title  = {The Chow Polynomial of the Noncrossing Partition Lattice},
  author = {Joseph Chun and Natsuka Hayashida and Ethan Partida and Zhixing Wang},
  journal= {arXiv preprint arXiv:2608.03806},
  year   = {2026}
}

Comments

14 pages, 8 figures, comments welcome!