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arXiv · 2007.08976

Elliptic classes on Langlands dual flag varieties

Richard Rimanyi·Andrzej Weber
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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.

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Richard Rimanyi, Andrzej Weber. 2020-07-17. Elliptic classes on Langlands dual flag varieties. https://arxiv.org/abs/2007.08976

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