Harmonic cohomology of symplectic fiber bundles
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- by Oliver Ebner and Stefan Haller PDF
- Proc. Amer. Math. Soc. 139 (2011), 2927-2931 Request permission
Abstract:
We show that every de Rham cohomology class on the total space of a symplectic fiber bundle with closed Lefschetz fibers admits a Poisson harmonic representative in the sense of Brylinski. The proof is based on a new characterization of closed Lefschetz manifolds.References
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Additional Information
- Oliver Ebner
- Affiliation: Institute of Geometry, Technische Universität Graz, Kopernikusgasse 24/IV, A-8010 Graz, Austria
- Email: o.ebner@tugraz.at
- Stefan Haller
- Affiliation: Department of Mathematics, University of Vienna, Nordbergstraße 15, A-1090, Vienna, Austria
- MR Author ID: 653754
- Email: stefan.haller@univie.ac.at
- Received by editor(s): April 13, 2010
- Received by editor(s) in revised form: July 19, 2010
- Published electronically: December 28, 2010
- Additional Notes: The first author was partially supported by the Austrian Science Fund, grant S9209
The second author acknowledges the support of the Austrian Science Fund, grant P19392-N13. - Communicated by: Jianguo Cao
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2927-2931
- MSC (2010): Primary 53D17
- DOI: https://doi.org/10.1090/S0002-9939-2010-10707-4
- MathSciNet review: 2801633