Holomorphic Slices, Symplectic Reduction and Multiplicities of Representations
| dc.creator | Sjamaar, Reyer | |
| dc.date | 1993-04-12 | |
| dc.date.accessioned | 2026-07-07T09:05:49Z | |
| dc.date.available | 2026-07-07T09:05:49Z | |
| dc.description | I prove the existence of slices for an action of a reductive complex Lie group on a Kähler manifold at certain orbits, namely those orbits that intersect the zero level set of a momentum map for the action of a compact real form of the group. I give applications of this result to symplectic reduction and geometric quantization at singular levels of the momentum map. In particular, I obtain a formula for the multiplicities of the irreducible representations occurring in the quantization in terms of symplectic invariants of reduced spaces, generalizing a result of Guillemin and Sternberg. | |
| dc.description | 34 pages, AmS-LaTeX version 1.1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9304004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9304004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149804 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Holomorphic Slices, Symplectic Reduction and Multiplicities of Representations | |
| dc.type | text |