Abstract
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.
| Original language | English |
|---|---|
| Journal | Journal of Topology and Analysis |
| DOIs | |
| Publication status | Accepted/In press - 2018 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
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Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions. / Chiang, Meng-Jung; Kessler, Liat.
In: Journal of Topology and Analysis, 01.01.2018.Research output: Contribution to journal › Article
TY - JOUR
T1 - Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions
AU - Chiang, Meng-Jung
AU - Kessler, Liat
PY - 2018/1/1
Y1 - 2018/1/1
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.
UR - http://www.scopus.com/inward/record.url?scp=85059592468&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85059592468&partnerID=8YFLogxK
U2 - 10.1142/S1793525319500742
DO - 10.1142/S1793525319500742
M3 - Article
JO - Journal of Topology and Analysis
JF - Journal of Topology and Analysis
SN - 1793-5253
ER -