Proper group actions and symplectic stratified spaces
| dc.creator | Bates, L. | |
| dc.creator | Lerman, E. | |
| dc.date | 1994-07-07 | |
| dc.date.accessioned | 2026-07-07T09:12:22Z | |
| dc.date.available | 2026-07-07T09:12:22Z | |
| dc.description | Let $(M,ω)$ be a Hamiltonian $G$-space with a momentum map $F:M \to {\frak g}^*$. It is well-known that if $α$ is a regular value of $F$ and $G$ acts freely and properly on the level set $F^{-1}(G\cdot α)$, then the reduced space $M_α:=F^{-1}(G\cdot α)/G$ is a symplectic manifold. We show that if the regularity assumptions are dropped the space $M_α$ is a union of symplectic manifolds, and that the symplectic manifolds fit together in a nice way. In other words the reduced space is a {\em symplectic stratified space}. This extends results known for the Hamiltonian action of compact groups. | |
| dc.description | 25 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9407003 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9407003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152001 | |
| dc.subject | Differential Geometry | |
| dc.title | Proper group actions and symplectic stratified spaces | |
| dc.type | text |