Some aspects of noncommutative differential geometry

Details Some aspects of noncommutative differential geometry Some aspects of noncommutative differential geometry

1995-11-27

arxiv.org/abs/q-alg/9511027v1

Mathematics

Differential Geometry

27 pages, AMS-LaTeX, LPTHE-ORSAY 95/78

Scientific paper

We discuss in some generality aspects of noncommutative differential geometry
associated with reality conditions and with differential calculi. We then
describe the differential calculus based on derivations as generalization of
vector fields, and we show its relations with quantum mechanics. Finally we
formulate a general theory of connections in this framework.

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