Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Lagrangian Grassmannian

Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Lagrangian Grassmannian
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发表时间:
2006-02
期刊:
arXiv: Algebraic Geometry
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通讯作者:
V. Kreiman
V. Kreiman
中科院分区:
其他
文献类型:
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作者:
V. Kreiman

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本文给出了Schubert类在等变K-理论和Lagrange Grassmannian的等变上同调中对T-不动点的限制的正公式。我们的公式依赖于Ghorpade-Raghavan的一个结果,它给出了Schubert簇在Lagrange Grassmannian的T-不动点附近的等变Grobner退化。
We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Lagrangian Grassmannian. Our formulas rely on a result of Ghorpade-Raghavan, which gives an equivariant Grobner degeneration of a Schubert variety in the neighborhood of a T-fixed point of the Lagrangian Grassmannian.