Cover of Book

Symplectic Manifolds with No Kahler Structure


Aleksy Tralle and John Oprea

Symplectic geometry and topology is a tremendously explosive area with strong connections linking differential geometry to algebraic topology. Since Kahler manifolds were the first compact examples of symplectic manifolds, the first question that arises is whether all compact symplectic manifolds are Kahler. As is typical in the subject, either the simply connected or non-simply connected case is easy while the other is hard. In this case, non-simply connected non-Kahler symplectic manifolds are easy to find. The simply connected situation is harder. This book gives an exposition of these types of examples as well as a general approach to such questions via rational homotopy theory.

Return to Oprea's Homepage