2 citations · 5 across the 11 of their papers we have counts for
12 papers
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…
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 -quiver varieties as an analogy of the construction over Nakajima quiver varieties. To ac…
Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials
Rui Xiong
We study the generalized double -Grothendieck polynomials for all types. We study the Cauchy formulas for them. Using this, we deduce the K-theoretic version of the comodule str…
Computations of the Comodule Structures of the Chow rings of Flag Varieties
Rui Xiong
Let be a connected reductive group, and be its flag variety. Let be the natural projection. In this paper, we developed an algorithm to describe the map $π^*…
Puzzle Model for Bumpless Pipe Dream
Rui Xiong
In this note, a new puzzle is introduced where the pipe dream and bumpless pipe dream can be played simultaneously. Using these, a combinatorial proof of the (ordinary) Schubert po…
Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials
Rui Xiong
In this article, the comodule structure of Chow rings of Flag manifolds is described by Schubert cells. Its equivariant version gives rise to a Hopf struct…