Inequalities à la Frölicher and cohomological decompositions

DOI10.4171/JNCG/199zbMath1325.32018arXiv1403.2298OpenAlexW1502952944MaRDI QIDQ2354790

Daniele Angella, Adriano Tomassini

Publication date: 24 July 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2298

zbMATH Keywords

symplectic manifoldscompact complex manifoldsBott-Chern cohomologyAeppli cohomologygeneralized complex structures\(\partial \overline{\partial}\)-lemma

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Compact complex (n)-folds (32J18) Compact Kähler manifolds: generalizations, classification (32J27) Generalized geometries (à la Hitchin) (53D18)

Related Items (13)

Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Hodge theory for twisted differentials ⋮ On non-Kähler degrees of complex manifolds ⋮ The Frölicher-type inequalities of foliations ⋮ On second non-HLC degree of closed symplectic manifold ⋮ Symplectic cohomologies and deformations ⋮ A Frölicher-type inequality for generalized complex manifolds ⋮ On the deformed Bott-Chern cohomology ⋮ Symplectic harmonicity and generalized coeffective cohomologies ⋮ Quantitative and qualitative cohomological properties for non-Kähler manifolds ⋮ On harmonic symmetries for locally conformally Kähler manifolds ⋮ Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds ⋮ Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds and \(d^\prime d^{\prime\prime}\)-lemma

Cites Work

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• The cohomologies of the Iwasawa manifold and of its small deformations
• Symplectical manifolds and cohomological decomposition
• On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
• On cohomological decomposability of almost–Kähler structures
• Small Deformations of a Class of Compact Non-Kahler Manifolds

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