Symplectic Manifolds with no Kaehler structure

• Main Authors: Tralle, Alesky (Author, http://id.loc.gov/vocabulary/relators/aut), Oprea, John (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1661
• Subjects: Differential geometry.; Algebraic topology.; Differential Geometry.; Algebraic Topology.

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated d...

Table of Contents:

• The starting point: Homotopy properties of kähler manifolds
• Nilmanifolds
• Solvmanifolds
• The examples of McDuff
• Symplectic structures in total spaces of bundles
• Survey.