| Cohomological Aspects in Complex Non-Kähler Geometry 2014 Edition Contributor(s): Angella, Daniele (Author) |
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ISBN: 331902440X ISBN-13: 9783319024400 Publisher: Springer OUR PRICE: $47.49 Product Type: Paperback Published: December 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis - Mathematics | Calculus |
| Dewey: 515.94 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.61" H x 6.14" W x 9.21" (0.91 lbs) 262 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a K hler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact K hler 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 K hler 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. |