Elliptic Schubert Classes and the Poincare Duality
Changlong Zhong
TL;DR
This paper demonstrates Poincaré duality for elliptic classes related to Schubert varieties using the Kostant-Kumar method, contributing to the understanding of elliptic cohomology in algebraic geometry.
Contribution
It establishes Poincaré duality for elliptic Schubert classes, a novel result in elliptic cohomology of Schubert varieties.
Findings
Proves Poincaré duality for elliptic classes
Uses Kostant-Kumar method for the proof
Advances understanding of elliptic cohomology
Abstract
In this expository note, by using the Kostant-Kumar method, we prove the Poincar\'e duality of the elliptic classes associated to Schubert varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Combinatorial Mathematics