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Elliptic classes on Langlands dual flag varieties (2007.08976v2)
Published 17 Jul 2020 in math.AG
Abstract: Characteristic classes of Schubert varieties can be used to study the geometry and the combinatorics of homogeneous spaces. We prove a relation between elliptic classes of Schubert varieties on a generalized full flag variety and those on its Langlands dual. This new symmetry is only revealed if Schubert calculus is elevated from cohomology or K theory to the elliptic level.