Quantum differentials and the q-monopole revisited

Abstract

The q-monopole bundle introduced previously is extended to a general construction for quantum group bundles with non-universal differential calculi. We show that the theory applies to several other classes of bundles as well, including bicrossproduct quantum groups, the quantum double and combinatorial bundles associated to covers of compact manifolds.

58 pages, LaTeX, uses amscd

References in corpus (1)

• Advances in Quantum and Braided Geometry

Cited by in corpus (6)

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• Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets
• Calculi, Hodge operators and Laplacians on a quantum Hopf fibration
• Moduli of quantum Riemannian geometries on <= 4 points
• Classical gauge theory on quantum principal bundles