| Title | Doulbeault and J-invariant Cohomologies on Almost Complex Manifolds |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | Sillari, L, Tomassini, A |
| Journal | Complex Analysis and Operator Theory |
| Volume | 15 |
| Date Published | 09/2021 |
| Type of Article | Article |
| Other Numbers | Article number: 112 |
| Keywords | Almost Complex Manifolds; Cohomology of Lie Algebra; Compact four-manifold; Dolbeault Cohomology; Frölicher Spectral Sequence; Solvmanifold |
| Abstract | In this paper we relate the cohomology of $J$-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. |
| URL | https://link.springer.com/article/10.1007/s11785-021-01156-w |
| DOI | 10.1007/s11785-021-01156-w |