Equivariant cohomology rings of the real flag manifolds

Abstract

We give Leray-Borel-type descriptions for the mod-$2$ and the rational equivariant cohomology rings of the real and the oriented flag manifolds under the canonical torus or 2-torus actions.

29 pages

References in corpus (2)

• On the cohomology of real Grassmann manifolds
• Three presentations of torus equivariant cohomology of flag manifolds

Cited by in corpus (2)

• Flag Bott manifolds of general Lie type and their equivariant cohomology rings
• The cohomology of real Grassmannians via Schubert stratifications