Differential calculi on noncommutative bundles

Details Differential calculi on noncommutative bundles Differential calculi on noncommutative bundles

1996-12-22

arxiv.org/abs/q-alg/9612030v1

Mathematics

Quantum Algebra

LaTeX, 31 pages

Scientific paper

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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