TY - JOUR
T1 - Non-Hamiltonian Actions With Fewer Isolated Fixed Points
AU - Jang, Donghoon
AU - Tolman, Susan
N1 - Donghoon Jang is supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2018R1D1A1B07049511 and 2021R1C1C1004158). Susan Tolman is partially supported by National Science Foundation Grant DMS-1206365, and Simons Foundation Collaboration Grant 637996.
PY - 2023/3/1
Y1 - 2023/3/1
N2 - 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 ≥ 5.
AB - 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 ≥ 5.
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U2 - 10.1093/imrn/rnac033
DO - 10.1093/imrn/rnac033
M3 - Article
AN - SCOPUS:85152212553
SN - 1073-7928
VL - 2023
SP - 6045
EP - 6077
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 7
ER -