Elliptic Schubert Classes and the Poincare Duality

2025/06/19 by Zhong, Changlong · 1 citation
#05E10 #14M15 #55N34 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.16290

Abstract

In this expository note, by using the Kostant-Kumar method, we prove the Poincaré duality of the elliptic classes associated to Schubert varieties.

Citations

• Elliptic classes via the periodic Hecke module and its Langlands dual
• Elliptic classes of Schubert varieties
• Elliptic stable envelopes

Cited by

• Combinatorial Aspects of Elliptic Schubert Calculus

Related

• Elliptic classes of Schubert varieties
• Elliptic classes on Langlands dual flag varieties
• A Schubert basis in equivariant elliptic cohomology
• Combinatorial Aspects of Elliptic Schubert Calculus
• ℏ-deformed Schubert calculus in equivariant cohomology, K-theory, and elliptic cohomology