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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
Pages (from-to)	1047-1071
Number of pages	25
Journal	Journal of Topology and Analysis
Volume	12
Issue number	4
DOIs	https://doi.org/10.1142/S1793525319500742
Publication status	Published - 2020 Dec 1

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1142/S1793525319500742

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title = "Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions",

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.",

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AU - Kessler, Liat

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

Abstract

All Science Journal Classification (ASJC) codes

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