The kernel of chromatic quasisymmetric functions on graphs and hypergraphic polytopes

摘要

The chromatic symmetric function on graphs is a celebrated graph invariant. Analogous chromatic maps can be defined on other objects, as presented by Aguiar, Bergeron and Sottile. The problem of identifying the kernel of some of these maps was addressed by Feray, for the Gessel quasisymmetric function on posets.