A formula for the structure constants of the multiplication of Schubert classes is obtained in arXiv:1909.05283. In this note, we prove analogous formulae for the Chern--Schwartz--MacPherson (CSM) classes and Segre--Schwartz--MacPherson (SSM) classes of Schubert cells in the flag variety. By the equivalence between the CSM classes and the stable basis elements for the cotangent bundle of the flag variety, a formula for the structure constants for the latter is also deduced.

中文翻译：

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舒伯特细胞陈类的结构常数

在 arXiv:1909.05283 中获得了 Schubert 类乘法的结构常数的公式。在本说明中，我们证明了标志品种中舒伯特单元的 Chern--Schwartz--MacPherson (CSM) 类和 Segre--Schwartz--MacPherson (SSM) 类的类似公式。通过CSM类与旗形余切丛的稳定基元之间的等价性，还推导出了后者的结构常数公式。