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Showing 1 to 2 of 2 for “"Hamiltonian circle action"”.
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Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds
… symplectic manifold equipped with a semi-free Hamiltonian circle action such that the fixed point set consists of isolated points or compact orientable surfaces. Assume the second Betti number of M is less than 3. We give a complete list of the possible manifolds, determine their equivariant …
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Symplectic circle actions with isolated fixed points
Consider a symplectic circle action on a closed symplectic manifold $M$ with non-empty isolated fixed points. Associated to each fixed point, there are well-defined non-zero integers, called \emph{weights}. We prove that the action is Hamiltonian if the sum of an odd number of weights is never …