Non-Hamiltonian actions with fewer isolated fixed points
Symplectic Geometry
2023-07-14 v1
Abstract
In an earlier paper, the second author resolved a question of McDuff by constructing a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly 32 fixed points. In this paper, we improve on this example by reducing the number of fixed points. More concretely, we construct a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly fixed points for any .
Cite
@article{arxiv.2007.12592,
title = {Non-Hamiltonian actions with fewer isolated fixed points},
author = {Donghoon Jang and Susan Tolman},
journal= {arXiv preprint arXiv:2007.12592},
year = {2023}
}