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Lectures on graded differential algebras and noncommutative geometry. (English) Zbl 1038.58004

Maeda, Yoshiaki (ed.) et al., Noncommutative differential geometry and its applications to physics. Proceedings of the workshop, Shonan, Japan, May 31–June 4, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6930-0/hbk). Math. Phys. Stud. 23, 245-306 (2001).
Summary: These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
For the entire collection see [Zbl 1024.00030].

MSC:

58B34 Noncommutative geometry (à la Connes)
81R60 Noncommutative geometry in quantum theory
81T75 Noncommutative geometry methods in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
81T70 Quantization in field theory; cohomological methods
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
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