21 citations · 37 across the 15 of their papers we have counts for
6 papers · 1 filter
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 thes…
Elliptic classes via the periodic Hecke module and its Langlands dual
Cristian Lenart, Gufang Zhao, Changlong Zhong
This paper explores a construction of the elliptic classes of the Springer resolution using the periodic Hecke module. The module is established by employing the Poincaré line bund…
Geometric properties of the Kazhdan-Lusztig Schubert basis
Cristian Lenart, Changjian Su, Kirill Zainoulline +1
We study classes determined by the Kazhdan-Lusztig basis of the Hecke algebra in the -theory and hyperbolic cohomology theory of flag varieties. We first show that, in -theor…
Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology
Cristian Lenart, Kirill Zainoulline, Changlong Zhong
We study the equivariant oriented cohomology ring of partial flag varieties using the moment map approach. We define the right Hecke action on this cohomology ring, and…
A Schubert basis in equivariant elliptic cohomology
Cristian Lenart, Kirill Zainoulline
We address the problem of defining Schubert classes independently of a reduced word in equivariant elliptic cohomology, based on the Kazhdan-Lusztig basis of a corresponding Hecke…
Towards generalized cohomology Schubert calculus via formal root polynomials
Cristian Lenart, Kirill Zainoulline
An important combinatorial result in equivariant cohomology and -theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Sch…