Abstract
We introduce a category of noncommutative bundles. To establish geometry in this category we construct suitable noncommutative differential calculi on these bundles and study their basic properties. Furthermore we define the notion of a connection with respect to a differential calculus and consider questions of existence and uniqueness. At the end these constructions are applied to basic examples of noncommutative bundles over a coquasitriangular Hopf algebra.
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Pflaum, M.J., Schauenburg, P. Differential calculi on noncommutative bundles. Z Phys C - Particles and Fields 76, 733–744 (1997). https://doi.org/10.1007/s002880050595
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DOI: https://doi.org/10.1007/s002880050595