TY - JOUR
T1 - Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions
AU - Chiang, River
AU - Kessler, Liat
N1 - Funding Information:
We thank Yael Karshon and Leonid Polterovich for telling us about Kedra’s question. We thank them as well as Masanori Kobayashi and Kaoru Ono for helpful suggestions and stimulating discussions. We thank Shin-Yao Jow for teaching us how to do Claim 6.2(iii). RC is supported by MoST 103-2115-M-006-004 and NCTS, Taiwan.
Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.
AB - We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.
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U2 - 10.1142/S1793525319500742
DO - 10.1142/S1793525319500742
M3 - Article
AN - SCOPUS:85059592468
VL - 12
SP - 1047
EP - 1071
JO - Journal of Topology and Analysis
JF - Journal of Topology and Analysis
SN - 1793-5253
IS - 4
ER -