Symplectic forms invariant under free circle actions on 4--manifolds
| dc.creator | Hajduk, Boguslaw | |
| dc.creator | Walczak, Rafal | |
| dc.date | 2003-12-26 | |
| dc.date.accessioned | 2026-07-07T05:04:12Z | |
| dc.date.available | 2026-07-07T05:04:12Z | |
| dc.description | Let $M^4$ be a smooth compact manifold with a free circle action generated by a vector field $X.$ Then for any invariant symplectic form $ω$ on $M$ the contracted form $ι_X ω$ is nondegenerate. Using the map $ω--> ι_X ω$ and the related map to $H^1(M / S^1, R)$ we study the topology of the space $S_{inv}$ of invariant symplectic forms. In particular we give a description of $π_0 S_{inv}(M^4)$ in terms of the unit Thurston ball. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312465 | |
| dc.identifier | http://arxiv.org/abs/math/0312465 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69715 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D05; 57S25 | |
| dc.title | Symplectic forms invariant under free circle actions on 4--manifolds | |
| dc.type | text |