Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions

Details Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions

2012-04-23

arxiv.org/abs/1204.4961v1

Mathematics

Algebraic Geometry

Scientific paper

We consider the conormal bundle of a Schubert variety in the cotangent bundle
$T^*Gr$ of a Grassmannian $Gr$. This conormal bundle has a fundamental class in
the equivariant cohomology $H^*_T(T^*Gr)$. We express this fundamental class as
a sum of the Yangian $Y(gl_2)$ weight functions $W_J$.

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