Structure constants for Chern classes of Schubert cells
Algebraic Geometry
2019-10-01 v2 Combinatorics
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.
Cite
@article{arxiv.1909.10940,
title = {Structure constants for Chern classes of Schubert cells},
author = {Changjian Su},
journal= {arXiv preprint arXiv:1909.10940},
year = {2019}
}
Comments
18 pages; the results are extended to CSM classes and stable basis