Dolbeault and $J$-invariant cohomologies on almost complex manifolds
Differential Geometry
2022-09-22 v2
Abstract
In this paper we relate the cohomology of -invariant forms to the Dolbeault cohomology of an almost complex manifold. We find necessary and sufficient condition for the inclusion of the former into the latter to be true up to isomorphism. We also extend some results obtained by J. Cirici and S.O. Wilson about the computation of the left-invariant cohomology of nilmanifolds to the setting of solvmanifolds. Several examples are given.
Keywords
Cite
@article{arxiv.2009.12608,
title = {Dolbeault and $J$-invariant cohomologies on almost complex manifolds},
author = {Lorenzo Sillari and Adriano Tomassini},
journal= {arXiv preprint arXiv:2009.12608},
year = {2022}
}