Geometria Complessa e Geometria Differenziale
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D. Angella - A. Tomassini

On the cohomology of almost-complex manifolds

created by daniele on 08 Nov 2016
modified on 17 Nov 2017

[BibTeX]

Published Paper

Inserted: 8 nov 2016
Last Updated: 17 nov 2017

Journal: Internat. J. Math.
Volume: 23
Number: 2
Pages: 1250019, 25 pp.
Year: 2012
Doi: 10.1142/S0129167X11007604

ArXiv: 1211.6276 PDF
Links: arXiv:1211.6276

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-K\"ahler structures on a compact semi-K\"ahler manifold.

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