Symplectic implosion
| dc.creator | Guillemin, Victor | |
| dc.creator | Jeffrey, Lisa | |
| dc.creator | Sjamaar, Reyer | |
| dc.date | 2001-01-18 | |
| dc.date.accessioned | 2026-07-07T04:39:43Z | |
| dc.date.available | 2026-07-07T04:39:43Z | |
| dc.description | Let $K$ be a compact Lie group. We introduce the process of symplectic implosion, which associates to every Hamiltonian $K$-manifold a stratified space called the imploded cross-section. It bears a resemblance to symplectic reduction, but instead of quotienting by the entire group, it cuts the symmetries down to a maximal torus of $K$. We examine the nature of the singularities and describe in detail the imploded cross-section of the cotangent bundle of $K$, which turns out to be identical to an affine variety studied by Gelfand, Vinberg, Popov, and others. Finally we show that ``quantization commutes with implosion''. | |
| dc.description | 30 pages, LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/math/0101159 | |
| dc.identifier | http://arxiv.org/abs/math/0101159 | |
| dc.identifier | Transform. Groups 7 (2002), no. 2, 155--184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60783 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D20,14L24 | |
| dc.title | Symplectic implosion | |
| dc.type | text |