Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
Algebraic Geometry
2026-04-13 v1 Combinatorics
Representation Theory
Abstract
This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in -theory and hyperbolic cohomology of flag varieties. We first establish Poincar\'e dualities of these classes. We then focus on Grassmannians, and establish the Billey-type formula for KL-Schubert classes in hyperbolic cohomology.
Cite
@article{arxiv.2604.09416,
title = {Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology},
author = {Cristian Lenart and Krista Zehr and Changlong Zhong},
journal= {arXiv preprint arXiv:2604.09416},
year = {2026}
}
Comments
16 pages