1

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.

Community
  • 1
ngl
  • 11
  • See this question: http://mathoverflow.net/questions/88184/what-is-the-significance-of-non-commutative-geometry-in-mathematics 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
  • 1
    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

0 Answers0