X iv : h ep - t h / 94 01 01 9 v 1 6 J an 1 99 4 Quantum Principal Fiber Bundles : Topological Aspects ∗
نویسنده
چکیده
We introduce the notion of locally trivial quantum principal bundles. The base space and total space are compact quantum spaces (unital C-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. Supported by KBN under grant 2 1047 91 01 email: [email protected] email: [email protected]
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