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

Meng-Jung Chiang, Liat Kessler

Research output: Contribution to journalArticle

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

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Circle Action
Hamiltonian Actions
Trivial
Four-manifolds
Cyclic group
Homology

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Cite this

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