Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

2020/10/28 by Xiong, Rui
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2010.14780

Abstract

In this article, the comodule structure of Chow rings of Flag manifolds CH(G/B) is described by Schubert cells. Its equivariant version gives rise to a Hopf structure of the equivariant cohomology of flag manifolds H^*_B(G/B). We get two identities of generalized Schubert polynomials as explanations of the geometric facts.

Related

• Schubert structure operators and K_T(G/B)
• Introduction to the Cohomology of the Flag Variety
• Three presentations of torus equivariant cohomology of flag manifolds
• Computations of the Comodule Structures of the Chow rings of Flag Varieties
• A Schubert calculus recurrence from the noncomplex W-action on G/B