Quantization of Multiply Connected Manifolds
| dc.creator | Hawkins, Eli | |
| dc.date | 2003-04-17 | |
| dc.date.accessioned | 2026-07-07T04:57:00Z | |
| dc.date.available | 2026-07-07T04:57:00Z | |
| dc.description | The standard (Berezin-Toeplitz) geometric quantization of a compact Kaehler manifold is restricted by integrality conditions. These restrictions can be circumvented by passing to the universal covering space, provided that the lift of the symplectic form is exact. I relate this construction to the Baum-Connes assembly map and prove that it gives a strict quantization of the manifold. I also propose a further generalization, classify the required structure, and provide a means of computing the resulting algebras. These constructions involve twisted group C*-algebras of the fundamental group which are determined by a group cocycle constructed from the cohomology class of the symplectic form. | |
| dc.description | 69 pages. AMS-LaTeX, AMS fonts, euler | |
| dc.identifier | https://arxiv.org/abs/math/0304246 | |
| dc.identifier | http://arxiv.org/abs/math/0304246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67125 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 53D50; 81S10, 46L85, 19K56 | |
| dc.title | Quantization of Multiply Connected Manifolds | |
| dc.type | text |