Cohomological Aspects in Complex Non-K?nhler Geometr
General Material Designation
[Book]
First Statement of Responsibility
/ by Daniele Angella
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XXV, 262 p. 7 illus., online resource.
SERIES
Series Title
(Lecture Notes in Mathematics,0075-8434
Volume Designation
; 2095)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
In these notes, we provide a summary of recentresults on the cohomological properties of compact complex manifolds not endowed with a K?nhler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact K?nhler 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 K?nhler 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.
Text of Note
Preliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References.?╗╣