In these notes, we provide a summary of recent results on the
cohomological properties of compact complex manifolds not endowed
with a Kahler structure.
On the one hand, the large number of developed analytic
techniques makes it possible to prove strong cohomological
properties for compact Kahler manifolds. On the other, in order to
further investigate any of these properties, it is natural to look
for manifolds that do not have any Kahler structure.
We focus in particular on studying Bott-Chern and Aeppli
cohomologies of compact complex manifolds. Several results
concerning the computations of Dolbeault and Bott-Chern
cohomologies on nilmanifolds are summarized, allowing readers to
study explicit examples. Manifolds endowed with almost-complex
structures, or with other special structures (such as, for example,
symplectic, generalized-complex, etc.), are also considered."
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!