On the cohomology rings of real flag manifolds: Schubert cycles
On the cohomology rings of real flag manifolds: Schubert cycles
Abstract We give an algorithm to compute the integer cohomology groups of any real partial flag manifold, by computing the incidence coefficients of the Schubert cells. For even flag manifolds we determine the integer cohomology groups, by proving that any torsion class has order 2 (generalizing a result of Ehresmann). …