Formality and hard Lefschetz property of aspherical manifolds

zbMath1283.53068arXiv0910.1175MaRDI QIDQ2393582

Hisashi Kasuya

Publication date: 8 August 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1175

zbMATH Keywords

formalitysolvmanifoldhard Lefschetz propertysymplectic non-Kähler manifold

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Differential geometry of homogeneous manifolds (53C30) Rational homotopy theory (55P62) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (5)

Hodge symmetry and decomposition on non-Kähler solvmanifolds ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Formality and the Lefschetz property in symplectic and cosymplectic geometry ⋮ Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory ⋮ Coeffective cohomology of symplectic aspherical manifolds

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