Cohomology of GKM fiber bundles
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Guillemin_Cohomology of GKM.pdf
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393.88 KB
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Author(s)
Sabatini, Silvia
Zara, Catalin
Guillemin, Victor W.
Date Issued
May 2011
Journal
Journal of Algebraic Combinatorics
Publisher
Springer-Verlag
Citation
Guillemin, Victor, Silvia Sabatini, and Catalin Zara. “Cohomology of GKM fiber bundles.” Journal of Algebraic Combinatorics 35, no. 1 (February 12, 2012): 19-59.
Version
Author's final manuscript
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.
Description
Author's final manuscript April 15, 2011
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
http://dx.doi.org/10.1007/s10801-011-0292-6
