Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
Abstract
This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in K-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.
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