On the geometry of prequantization spaces
| dc.creator | Zambon, Marco | |
| dc.creator | Zhu, Chenchang | |
| dc.date | 2005-11-07 | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T08:39:19Z | |
| dc.date.available | 2026-07-07T08:39:19Z | |
| dc.description | Given a Poisson (or more generally Dirac) manifold $P$, there are two approaches to its geometric quantization: one involves a circle bundle $Q$ over $P$ endowed with a Jacobi (or Jacobi-Dirac) structure; the other one involves a circle bundle with a (pre-) contact groupoid structure over the (pre-) symplectic groupoid of $P$. We study the relation between these two prequantization spaces. We show that the circle bundle over the (pre-) symplectic groupoid of $P$ is obtained from the groupoid of $Q$ via an $S^1$ reduction that preserves both the groupoid and the geometric structure. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511187 | |
| dc.identifier | http://arxiv.org/abs/math/0511187 | |
| dc.identifier | J. of Geom. and Physics, Vol. 57, Issue 11 (Oct. 2007), pp. 2372-2397. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141029 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53D17 | |
| dc.title | On the geometry of prequantization spaces | |
| dc.type | text |