Dolbeault and \(J\)-invariant cohomologies on almost complex manifolds

DOI10.1007/s11785-021-01156-wzbMath1484.32045arXiv2009.12608OpenAlexW3204609699MaRDI QIDQ2238524

Lorenzo Sillari, Adriano Tomassini

Publication date: 1 November 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12608

zbMATH Keywords

Dolbeault cohomologysolvmanifoldalmost complex manifoldcohomology of Lie algebraFrölicher spectral sequencecompact four-manifold

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Related Items (1)

Rank of the Nijenhuis tensor on parallelizable almost complex manifolds

Cites Work

• Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
• On low-dimensional solvmanifolds
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• A general description of the terms in the Frölicher spectral sequence
• Bott-Chern cohomology of solvmanifolds
• Differential operators on almost-Hermitian manifolds and harmonic forms
• Another proof of the persistence of Serre symmetry in the Frölicher spectral sequence
• Topological and geometric aspects of almost Kähler manifolds via harmonic theory
• On the spectral sequence associated to a multicomplex
• Dolbeault cohomology of nilmanifolds with left-invariant complex structure
• Cohomologies of deformations of solvmanifolds and closedness of some properties
• Flows on some three dimensional homogeneous spaces
• Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds
• ON THE J-ANTI-INVARIANT COHOMOLOGY OF ALMOST COMPLEX 4-MANIFOLDS
• RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS

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