02601nmm a2200445 i 4500991003325579707536cr cn ---mpcbr170207s2014 sz | o j |||| 0|eng d9783319024417 (ebook)10.1007/978-3-319-02441-7doib14316250-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.3623AMS 53C55AMS 32G07AMS 32Q55AMS 32Q60AMS 53D18LC QA3.L28Angella, Daniele524797Cohomological Aspects in Complex Non-Kähler Geometry[e-book] /by Daniele AngellaCham :Springer Intern. Publ.,20141 online resourcetexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,1617-9692 ;2095Preliminaries on (almost-) complex manifolds ; Cohomology of complex manifolds ; Cohomology of nilmanifolds ; Cohomology of almost-complex manifolds ; ReferencesIn these notes, we provide a summary of recentresults 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, etc.), are also consideredDifferential equations, partialGlobal differential geometrySpringer eBooksPrinted edition:9783319024400http://link.springer.com/book/10.1007/978-3-319-02441-7An electronic book accessible through the World Wide.b1431625003-03-2207-02-17991003325579707536Cohomological aspects in complex non-Kähler geometry820739UNISALENTOle01307-02-17m@ -engsz 00