论文标题

旗品品种的等效性共同体中的结构常数

Structure Constants in equivariant oriented cohomology of flag varieties

论文作者

Goldin, Rebecca, Zhong, Changlong

论文摘要

我们获得了bott-samelson类的某些变体形式的结构常数公式,用于旗品品种面向的同类同胞。我们专门研究奇异的共同学/K理论,我们恢复了戈尔丁·克纳特森(Goldin-Knutson)舒伯特类的结构常数,以及su segre-schwartz-macpherson类的结构常数。我们还获得了K理论稳定基础的公式。我们的方法来自对形式仿射量代数的研究,因此纯粹是代数,而上述结果是几何的。

We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert classes of Goldin-Knutson, and that of structure constants of Segre-Schwartz-MacPherson classes of Su. We also obtain a formula for K-theoretic stable basis. Our method comes from the study of formal affine Demazure algebra, so is purely algebraic, while the above mentioned results are geometric.

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