Rui Xiong

activity

20192026

most citedPieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells

2 citations · 7 across the 18 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.CO2022★ 2 cited

Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells

Neil J. Y. Fan, Peter L. Guo, Rui Xiong

We develop Pieri type as well as Murnaghan--Nakayama type formulas for equivariant Chern--Schwartz--MacPherson classes of Schubert cells in the classical flag variety. These formul…

math.RT2022★ 2 cited

Equivariant log-concavity and equivariant Kähler packages

Tao Gui, Rui Xiong

We show that the exterior algebra $Λ_{R} [α_{1}, \dots, α_{n}]$ , which is the cohomology of the torus $T = (S^{1})^{n}$ , and the polynomial ring $\mathbb{R}\left[t_{1}, \l…

math.RT2022

A Geometric Realization of Symmetric Pairs of Type AIII

Rui Xiong

In this paper, we construct a geometric realization of symmetric pair of type AIII over $σ$ -quiver varieties as an analogy of the construction over Nakajima quiver varieties. To ac…