Cohomology of GKM fiber bundles

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.


Published in:
Journal Of Algebraic Combinatorics, 35, 19-59
Year:
2012
Publisher:
Springer Verlag
ISSN:
0925-9899
Keywords:
Laboratories:




 Record created 2012-01-26, last modified 2018-01-28


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