1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA 2. Department of Mathematics, EPFL, Lausanne, Switzerland 3. Department of Mathematics, UMass Boston, Boston, MA, 02125, USA
Abstract:
The equivariant cohomology ring of a GKM manifold is isomorphic to the cohomology ring of its GKM graph. In this paper we
explore the implications of this fact for equivariant fiber bundles for which the total space and the base space are both
GKM and derive a graph theoretical version of the Leray–Hirsch theorem. Then we apply this result to the equivariant cohomology
theory of flag varieties.