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Coeffective cohomology of symplectic aspherical manifolds


Author: Hisashi Kasuya
Journal: Proc. Amer. Math. Soc. 140 (2012), 2835-2842
MSC (2010): Primary 53D05
DOI: https://doi.org/10.1090/S0002-9939-2011-11421-7
Published electronically: November 29, 2011
MathSciNet review: 2910770
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Abstract: We prove a generalization of the theorem which has been proved by Fernandez, Ibanez, and de Leon. By this result, we give examples of non-Kähler manifolds which satisfy the property of compact Kähler manifolds concerning the coeffective cohomology.


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Hisashi Kasuya
Affiliation: Graduate School of Mathematical Science, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Email: khsc@ms.u-tokyo.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-2011-11421-7
Keywords: Symplectic manifold, solvmanifold, polycyclic group, coeffective cohomology
Received by editor(s): March 3, 2011
Published electronically: November 29, 2011
Communicated by: Lei Ni
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.