Cohomological Aspects in Complex Non-Kähler Geometry [e-book] / by Daniele Angella

• Autore: Angella, Daniele
• Descrizione fisica: 1 online resource
• Disciplina: 516.36
• Soggetto topico: Differential equations, partial; Global differential geometry
• Classificazione: AMS 53C55; AMS 32G07; AMS 32Q55; AMS 32Q60; AMS 53D18; LC QA3.L28
• Nota di contenuto: Preliminaries on (almost-) complex manifolds ; Cohomology of complex manifolds ; Cohomology of nilmanifolds ; Cohomology of almost-complex manifolds ; References
• Sommario/riassunto: In 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 considered
• ISBN: 9783319024417 (ebook)
• Formato: Software
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003325579707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/book/10.1007/978-3-319-02441-7
• Serie: Lecture Notes in Mathematics, 1617-9692 ; 2095