- Provides detailed examples
- Explicit computations of cohomologies on complex manifolds
- Coherent summary of existing literature
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- About this book
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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.
- Table of contents (4 chapters)
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Preliminaries on (Almost-)Complex Manifolds
Pages 1-63
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Cohomology of Complex Manifolds
Pages 65-94
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Cohomology of Nilmanifolds
Pages 95-150
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Cohomology of Almost-Complex Manifolds
Pages 151-232
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Cohomological Aspects in Complex Non-Kähler Geometry
- Authors
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- Daniele Angella
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 2095
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-02441-7
- DOI
- 10.1007/978-3-319-02441-7
- Softcover ISBN
- 978-3-319-02440-0
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- XXV, 262
- Number of Illustrations
- 7 b/w illustrations
- Topics
