Non-symplectic smooth circle actions on symplectic manifolds

2010/01/05 by Boguslaw Hajduk, Bogusław Hajduk, Krzysztof Pawalowski +5
Mathematics · #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.DG #math.SG #msc:53D05

paper · pdf · doi:10.48550/arxiv.1001.0680

9 pages, amslatex

arxiv created 2010/01/05 · arxiv updated 2010/01/14

Abstract

We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actions are not compatible with any symplectic form.

Related

• Smooth versus symplectic circle actions
• Symplectic 4-manifolds with fixed point free circle actions
• Classification of symplectic non-Hamiltonian circle actions on 4-manifolds
• Non-Hamiltonian actions with isolated fixed points
• An example of circle actions on symplectic Calabi-Yau manifolds with non-empty fixed points