3 papers
math.CO2024
Postnikov--Stanley polynomials are Lorentzian
Serena An, Katherine Tung, Yuchong Zhang
Postnikov--Stanley polynomials are a generalization of skew dual Schubert polynomials to the setting of arbitrary Weyl groups. We prove that Postnikov--Stanley polynomials…
math.CO2024
Newton polytopes of dual Schubert polynomials
Serena An, Katherine Tung, Yuchong Zhang
The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, and St. Dizier in 2022. We give a full characterization of the supports of dual Schubert p…
math.CO2024
Flip Graphs on Self-Complementary Ideals of Chain Products
Serena An, Holden Mui
In this paper, we introduce a flip operation on self-complementary ideals of chain product posets and study the resulting flip graphs. We give asymptotics for the number of vertice…