Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds
Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds
We obtain an algorithm computing the Chern–Schwartz–MacPherson (CSM) classes of Schubert cells in a generalized flag manifold $G/B$ . In analogy to how the ordinary divided difference operators act on Schubert classes, each CSM class of a Schubert class is obtained by applying certain Demazure–Lusztig-type operators to the CSM class …