Abstract
A construction of a quantum analogue of principal bundles is discussed. Deformations of quantum groups in the sense of Woronowicz allow to relax the condition of local triviality of a principal bundle; the fibres need not be all identical any longer. This leads to deformations of structure group and bundles. There is still a classifying space in the sense that homotopy classes of bundles are classified by homotopy classes of maps from the base space into the classifying space.
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Communicated by K. Gawedzki
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Müller, A. Classifying spaces for quantum principal bundles. Commun.Math. Phys. 149, 495–512 (1992). https://doi.org/10.1007/BF02096940
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DOI: https://doi.org/10.1007/BF02096940