Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions
Symplectic Geometry
2019-03-28 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1903.11568,
title = {Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions},
author = {River Chiang and Liat Kessler},
journal= {arXiv preprint arXiv:1903.11568},
year = {2019}
}