Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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L. Sillari - A. Tomassini

Dolbeault and $J$-invariant cohomologies on almost complex manifolds

created by sillari on 26 Oct 2023



Inserted: 26 oct 2023
Last Updated: 26 oct 2023

Year: 2020

ArXiv: 2009.12608 PDF


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.

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