论文标题

几乎复杂的歧管上的dolbeault和$ j $ invariant共同体

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

论文作者

Sillari, Lorenzo, Tomassini, Adriano

论文摘要

在本文中,我们将$ j $ invariant形式的共同体与几乎复杂的歧管的Dolbeault协同学联系起来。我们发现将前者纳入后者的必要条件是正确的。我们还扩展了J. Cirici和S.O.获得的一些结果。威尔逊关于Nilmanifolds的剩余不变的协同学计算Solvmanifolds的设置。给出了几个例子。

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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