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

• Autore: Angella Daniele
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
• Edizione: 1st ed. 2014.
• Descrizione fisica: 1 online resource (XXV, 262 p. 7 illus.)
• Disciplina: 514.223
• Soggetto topico: Differential geometry; Functions of complex variables; Differential Geometry; Several Complex Variables and Analytic Spaces
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• 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 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, etc.), are also considered.
• Titolo autorizzato: Cohomological aspects in complex non-Kähler geometry
• ISBN: 3-319-02441-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910300153403321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2095