Coeffective cohomology of symplectic aspherical manifolds

DOI10.1090/S0002-9939-2011-11421-7zbMath1277.53081arXiv1103.0703MaRDI QIDQ2845558

Hisashi Kasuya

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0703

zbMATH Keywords

symplectic manifoldsolvmanifoldscoeffective cohomology

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05)

Related Items (1)

Symplectic harmonicity and generalized coeffective cohomologies

Cites Work

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• Cohomologically symplectic solvmanifolds are symplectic
• On the fundamental group of a homogeneous space
• Complex parallelisable manifolds and their small deformations
• Coeffective and de Rham cohomologies of symplectic manifolds
• A Nomizu's theorem for the coeffective cohomology
• Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
• Formality and hard Lefschetz property of aspherical manifolds
• A note on compact solvmanifolds with Kähler structures
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Solvable fundamental groups of algebraic varieties and K\"ahler manifolds

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