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

River Chiang, Liat Kessler

Research output: Contribution to journalArticlepeer-review

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
Pages (from-to)1047-1071
Number of pages25
JournalJournal of Topology and Analysis
Volume12
Issue number4
DOIs
Publication statusPublished - 2020 Dec 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

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