On the Noncommutative Geometry of the Endomorphism Algebra of a Vector Bundle
arXiv:math/9803088 · doi:10.1016/S0393-0440(99)00009-1
Abstract
In this letter we investigate some aspects of the noncommutative differential geometry based on derivations of the algebra of endomorphisms of an oriented complex hermitian vector bundle. We relate it, in a natural way, to the geometry of the underlying principal bundle and compute the cohomology of its complex of noncommutative differential forms.
10 pages, Latex, pb-diagram
References in corpus (2)
Cited by in corpus (10)
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- Noncommutative Induced Gauge Theories on Moyal Spaces
- Invariant noncommutative connections
- Examples of derivation-based differential calculi related to noncommutative gauge theories
- Noncommutative generalization of SU(n)-principal fiber bundles: a review
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