| dc.contributor.author | Sabatini, Silvia | |
| dc.contributor.author | Zara, Catalin | |
| dc.contributor.author | Guillemin, Victor W. | |
| dc.date.accessioned | 2013-09-23T17:04:13Z | |
| dc.date.available | 2013-09-23T17:04:13Z | |
| dc.date.issued | 2011-05 | |
| dc.date.submitted | 2010-04 | |
| dc.identifier.issn | 0925-9899 | |
| dc.identifier.issn | 1572-9192 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80871 | |
| dc.description | Author's final manuscript April 15, 2011 | en_US |
| dc.description.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. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10801-011-0292-6 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Cohomology of GKM fiber bundles | en_US |
| dc.type | Article | en_US |
| dc.identifier.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. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.contributor.mitauthor | Guillemin, Victor W. | en_US |
| dc.contributor.mitauthor | Zara, Catalin | en_US |
| dc.relation.journal | Journal of Algebraic Combinatorics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Guillemin, Victor; Sabatini, Silvia; Zara, Catalin | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-0983-1754 | |
| dc.identifier.orcid | https://orcid.org/0000-0003-2641-1097 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
