Lecture Notes in Mathematics

Cohomological Aspects in Complex Non-Kähler Geometry

Authors: Angella, Daniele

  • Provides detailed examples
  • Explicit computations of cohomologies on complex manifolds
  • Coherent summary of existing literature
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About this book

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 (1 chapters)

  • Preliminaries on (Almost-)Complex Manifolds

    Daniele Angella

    Pages 1-63

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-02441-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-02440-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Cohomological Aspects in Complex Non-Kähler Geometry
Authors
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 and Tables
7 b/w illustrations
Topics