5 papers
Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
Cristian Lenart, Krista Zehr, Changlong Zhong
This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in -theory and hyperbolic cohomology of flag varieties. We first establish Poincaré dualities of the…
Motivic Chern Classes of Open Projected Richardson Varieties and of Affine Schubert Cells
Changjian Su, Rui Xiong, Changlong Zhong
The open projected Richardson varieties are images of the open Richardson varieties of the complete flag variety under the canonical projection to the partial flag variety. Our mai…
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…
The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties
J. Matthew Douglass, Changlong Zhong
We use the formal affine Demazure algebra to construct an explicit Leray-Hirsch Theorem for torus equivariant oriented cohomology of flag varieties. We then generalize the Borel mo…
Structure Constants in equivariant oriented cohomology of flag varieties
Rebecca Goldin, Changlong Zhong
We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomol…