3 papers
math.CO2025
Combinatorial Aspects of Elliptic Schubert Calculus
Cristian Lenart, Rui Xiong, Changlong Zhong
The main goal of this paper is to extend two fundamental combinatorial results in Schubert calculus on flag manifolds from equivariant cohomology and -theory to equivariant elli…
math.CO2024
Hybrid Pipe Dreams for Key Polynomials
Yihan Xiao, Rui Xiong, Haofeng Zhang
We develop a family of new combinatorial models for key polynomials. It is similar to the hybrid pipe dream model for Schubert polynomials defined recently by Knutson and Udell.
math.RT2024
Equivariant log-concavity and equivariant Kähler packages
Tao Gui, Rui Xiong
We show that the exterior algebra , which is the cohomology of the torus , and the polynomial ring $\mathbb{R}\left[t_{1},…