TY - JOUR
T1 - Non-Hamiltonian Actions With Fewer Isolated Fixed Points
AU - Jang, Donghoon
AU - Tolman, Susan
N1 - Publisher Copyright:
© The Author(s) 2022. Published by Oxford University Press. All rights reserved.
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.
UR - http://www.scopus.com/inward/record.url?scp=85152212553&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85152212553&partnerID=8YFLogxK
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 -