Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Possible duplicate: What is the significance of non-commutative geometry in mathematics?

Hi, I've read some introductory articles and lecture notes on (Connes) noncommutative geometry that generalizes Riemannian geometry. I was wondering whether there are any benifits/results in the back direction, i.e. Results in Riemannian geometry that are obtained by methods in noncommutative geometry? Thanks in advance.

share|improve this question
See this question: mathoverflow.net/questions/88184/… for some examples. There are lots of applications to foliations and index theory, to name just two examples. Also, in a slightly different vein, the rational injectivity of the assembly map (keyword: Baum-Connes conjecture) implies the Novikov conjecture. –  MTS May 25 '12 at 21:01
In fact, I am voting to close this question as a duplicate of the one I linked to. –  MTS May 25 '12 at 21:35
Great, thanks a lot. –  ngl May 27 '12 at 18:59
add comment

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.