2022/10/26 by Adin, Ron M., Roichman, Yuval
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2210.14839
A new descent set statistic on involutions, defined geometrically via their interpretation as matchings, is introduced in this paper, and shown to be equi-distributed with the standard one. This concept is then applied to construct explicit cyclic descent extensions on involutions, standard Young tableaux and Motzkin paths. Schur-positivity of the associated quasisymmetric functions follows.