Structure constants for Chern classes of Schubert cells

Abstract

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.

18 pages; the results are extended to CSM classes and stable basis

References in corpus (2)

• On the K-theory stable bases of the Springer resolution
• Stable bases of the Springer resolution and representation theory

Cited by in corpus (1)

• Explicit Formulas for h-Deformed Structure Constants of Grassmannians