Geodesic
Cohomology of GKM fiber bundles
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 1, pp. 19-59.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: keywords equivariant fiber bundle, equivariant cohomology, GKM space, flag manifold 
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     author = {Guillemin, Victor and Sabatini, Silvia and Zara, Catalin},
     title = {Cohomology of {GKM} fiber bundles},
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Guillemin, Victor; Sabatini, Silvia; Zara, Catalin. Cohomology of GKM fiber bundles. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 1, pp. 19-59. http://geodesic.mathdoc.fr/item/JAC_2012__35_1_a6/