Proceedings of The American Mathematical Society
An interesting question in symplectic geometry concerns whether or not a closed symplectic manifold can have a free symplectic circle action with orbits contractible in the manifold. Here we present a c-symplectic example, thus showing that the problem is truly geometric as opposed to topological. Furthermore, we see that our example is the only known example of a c-symplectic manifold having non-trivial fundamental group and Lusternik-Schnirelmann category precisely half its dimension.
Allday, Christopher and Oprea, John, "A C-Symplectic Free S1-Manifold with Contractible Orbits and Cat = 1/2 Dim" (2006). Mathematics Faculty Publications. 154.
First published in Proceedings of The American Mathematical Society in 2006, published by the American Mathematical Society.