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arXiv · 2007.12592

Non-Hamiltonian actions with fewer isolated fixed points

Donghoon Jang·Susan Tolman
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Abstract

In an earlier paper, the second author resolved a question of McDuff by constructing a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly 32 fixed points. In this paper, we improve on this example by reducing the number of fixed points. More concretely, we construct a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly $2k$ fixed points for any $k \geq 5$.

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Donghoon Jang, Susan Tolman. 2020-07-24. Non-Hamiltonian actions with fewer isolated fixed points. https://doi.org/10.1093/imrn%2Frnac033

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