The Rise-Contact involution on Tamari intervals
Combinatorics
2019-06-04 v2
Abstract
We describe an involution on Tamari intervals and m-Tamari intervals. This involution switches two sets of statistics known as the "rises" and the "contacts" and so proves an open conjecture from Pr\'eville-Ratelle on intervals of the m-Tamari lattice.
Cite
@article{arxiv.1802.08335,
title = {The Rise-Contact involution on Tamari intervals},
author = {Viviane Pons},
journal= {arXiv preprint arXiv:1802.08335},
year = {2019}
}