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

River Chiang, Liat Kessler

Research output: Contribution to journal › Article

1 Citation (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 languageEnglish
JournalJournal of Topology and Analysis
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Fingerprint

Circle Action
Hamiltonian Actions
Trivial
Four-manifolds
Cyclic group
Homology

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Cite this

Chiang, River ; Kessler, Liat. / Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions. In: Journal of Topology and Analysis. 2018.
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Chiang, R & Kessler, L 2018, 'Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions', Journal of Topology and Analysis. https://doi.org/10.1142/S1793525319500742

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions. / Chiang, River; Kessler, Liat.

In: Journal of Topology and Analysis, 01.01.2018.

Research output: Contribution to journal › Article

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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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Chiang R, Kessler L. Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions. Journal of Topology and Analysis. 2018 Jan 1. https://doi.org/10.1142/S1793525319500742

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