Cohomology of GKM fiber bundles

Author's final manuscript April 15, 2011

Bibliographic Details
Main Authors: Sabatini, Silvia (Author), Zara, Catalin (Contributor), Guillemin, Victor W. (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2013-09-23T17:04:13Z.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Sabatini, Silvia  |e author 
100 1 0 |a Guillemin, Victor W.  |e contributor 
100 1 0 |a Zara, Catalin  |e contributor 
700 1 0 |a Zara, Catalin  |e author 
700 1 0 |a Guillemin, Victor W.  |e author 
245 0 0 |a Cohomology of GKM fiber bundles 
260 |b Springer-Verlag,   |c 2013-09-23T17:04:13Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/80871 
520 |a Author's final manuscript April 15, 2011 
520 |a 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. 
546 |a en_US 
655 7 |a Article 
773 |t Journal of Algebraic Combinatorics