From Poset Topology to $q$-Eulerian Polynomials to Stanley's Chromatic Symmetric Functions

John Shareshian and Michelle Wachs

Abstract: In recent years we have worked on a project involving poset topology, various analogues of Eulerian polynomials, and a refinement of Richard Stanley's chromatic symmetric function. Here we discuss how Stanley's ideas and results have influenced and inspired our own work.

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