Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

River Chiang; Liat Kessler

doi:10.1142/S1793525319500742

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

River Chiang, Liat Kessler

數學系

研究成果: Article › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	English
頁（從 - 到）	1047-1071
頁數	25
期刊	Journal of Topology and Analysis
卷	12
發行號	4
DOIs	https://doi.org/10.1142/S1793525319500742
出版狀態	Published - 2020 12月 1

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10.1142/S1793525319500742

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AU - Kessler, Liat

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Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

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