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arXiv · 1211.6276

On the cohomology of almost-complex manifolds

Daniele Angella·Adriano Tomassini
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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.

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Daniele Angella, Adriano Tomassini. 2012-11-27. On the cohomology of almost-complex manifolds. https://doi.org/10.1142/s0129167x11007604

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