Franklin

Cohomological Aspects in Complex Non-Kähler Geometry [electronic resource] / by Daniele Angella.

Author/Creator:
Angella, Daniele. author., Author,
Publication:
Cham : Springer International Publishing : Imprint: Springer, 2014.
Format/Description:
Book
1 online resource (XXV, 262 pages 7 illustrations)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 2095
Lecture Notes in Mathematics, 0075-8434 ; 2095
Contained In:
Springer eBooks
Status/Location:
Loading...

Options
Location Notes Your Loan Policy

Details

Subjects:
Global differential geometry.
Differential equations, partial.
Local subjects:
Differential Geometry. (search)
Several Complex Variables and Analytic Spaces. (search)
System Details:
text file PDF
Summary:
In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler 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 Kähler 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, et cetera), are also considered.
Contents:
Preliminaries on (almost-) complex manifolds
Cohomology of complex manifolds
Cohomology of nilmanifolds
Cohomology of almost-complex manifolds
References.
Contributor:
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
ISBN:
9783319024417
Publisher Number:
10.1007/978-3-319-02441-7 doi
Access Restriction:
Restricted for use by site license.