Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology

Cristian Lenart, Kirill Zainoulline, Changlong Zhong

We study the equivariant oriented cohomology ring $h_T(G/P)$ of partial flag varieties using the moment map approach. We define the right Hecke action on this cohomology ring, and…