On the cohomology of almost-complex manifolds
Differential Geometry
2012-11-28 v1
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.
Cite
@article{arxiv.1211.6276,
title = {On the cohomology of almost-complex manifolds},
author = {Daniele Angella and Adriano Tomassini},
journal= {arXiv preprint arXiv:1211.6276},
year = {2012}
}