Quantum Principal Fiber Bundles: Topological Aspects
| dc.creator | Budzynski, R. J. | |
| dc.creator | Kondracki, W. | |
| dc.date | 1994-01-06 | |
| dc.date.accessioned | 2026-07-07T04:19:57Z | |
| dc.date.available | 2026-07-07T04:19:57Z | |
| dc.description | We introduce the notion of locally trivial quantum principal bundles. The base space and total space are compact quantum spaces (unital $C^{\star}$-algebras), the structure group is a compact matrix quantum group. We prove that a quantum bundle admits sections if and only if it is trivial. Using a quantum version of Čech cocycles, we obtain a reconstruction theorem for quantum principal bundles. The classification of bundles over a given quantum space as a base space is reduced to the corresponding problem, but with an ordinary classical group playing the role of structure group. Some explicit examples are considered. | |
| dc.description | 29 pages, LaTeX, IM PAN preprint # 517 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9401019 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9401019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53779 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Principal Fiber Bundles: Topological Aspects | |
| dc.type | text |