D. Kotschick
Abstract
ABSTRACT. We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on the constructions of [5]. 1.
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ABSTRACT. We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on the constructions of [5]. 1.
Key concepts: Contractible space, Symplectic geometry, Mathematics, Symplectomorphism, Pure mathematics, Symplectic manifold