Connes connection

In mathematics, a Connes connection is a noncommutative generalization of a connection in differential geometry. It was introduced by Alain Connes, and was later generalized by Joachim Cuntz and Daniel Quillen.

See also

• Quasi-free algebra

References

• Alain Connes, Noncommutative geometry, Academic Press 1994.
• Connes, Alain (1985). "Non-commutative differential geometry". Publications Mathématiques de l'IHÉS. 62: 41–144. ISSN 1618-1913.
• Cuntz, Joachim; Quillen, Daniel (1995). "Algebra Extensions and Nonsingularity". Journal of the American Mathematical Society. 8 (2): 251–289. doi:10.2307/2152819. ISSN 0894-0347.
• * Vale, R. (2009). "notes on quasi-free algebras" (PDF).

Further reading

• connection in noncommutative geometry in nLab

This article "Connes connection" is from Wikipedia. The list of its authors can be seen in its historical and/or the page Edithistory:Connes connection. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.

📰 Article(s) of the same category(ies)

• Event symmetry
• Formal differential geometry

---