On the cohomology of almost-complex manifolds

Abstract

Following T.-J. Li, W. Zhang [Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom.], we continue to study the link between the cohomology of an almost-complex manifold and its almost-complex structure. In particular, we apply the same argument in [T.-J. Li, W. Zhang, Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom.] and the results obtained by D. Sullivan in [Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math.] to study the cone of semi-Kähler structures on a compact semi-Kähler manifold.

References in corpus (1)

• On Cohomological Decomposition of Almost-Complex Manifolds and Deformations

Cited by in corpus (9)

• On Cohomological Decomposability of Almost-Kähler Structures
• Cohomology of D-complex manifolds
• On strongly Gauduchon metrics of compact complex manifolds
• On the cohomology of almost complex and symplectic manifolds and proper surjective maps
• Symplectic cohomologies and deformations
• On cohomological decomposition of generalized-complex structures
• On cohomology of almost complex 4-manifolds
• On non-pure forms on almost complex manifolds
• On second non-HLC degree of closed symplectic manifold