On the Noncommutative Geometry of the Endomorphism Algebra of a Vector Bundle

Details On the Noncommutative Geometry of the Endomorphism Algebra of a Vector Bundle On the Noncommutative Geometry of the Endomorphism Algebra of a Vector Bundle

1998-03-20

arxiv.org/abs/math/9803088v1

Mathematics

Differential Geometry

10 pages, Latex, pb-diagram

Scientific paper

10.1016/S0393-0440(99)00009-1

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.

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