A C-symplectic free -manifold with contractible orbits and |
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Authors: | Christopher Allday John Oprea |
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Institution: | Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, Hawaii 96822-2273 ; Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115 |
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Abstract: | 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. |
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