Cohomological aspects in complex non-kahler geometry / Daniele Angella.
Material type:
TextSeries: Lecture notes in mathematics ; 2095Publication details: Switzerland : Springer, 2014.Description: xxv, 262 p. : illustrations ; 24 cmISBN: - 9783319024400 (soft cover : alk. paper)
- 515.946 23 An583
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.946 An583 (Browse shelf(Opens below)) | Available | 136442 |
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| 515.94 W489 Banach algebras and several complex variables | 515.942 M434 Pseudo-periodic maps and degeneration of riemann surfaces | 515.944 W662 On the coefficients of the modular invariant Jr | 515.946 An583 Cohomological aspects in complex non-kahler geometry / | 515.946 F996 Guts of surfaces and the colored Jones polynomial | 515.946 M322 Hyperbolic manifolds : | 515.96 C397 Pluripotential theory : |
Includes bibliographical references and index.
1. Preliminaries on (almost-) complex manifolds --
2. Cohomology of complex manifolds --
3. Cohomology of nilmanifolds --
4. Cohomology of almost-complex manifolds--
References--
Index.
This book provides a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kahler 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 Kahler structure. It is focused 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.
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