The main purpose of this chapter is to discuss the Hopf algebras introduced by Connes and Moscovici in connection with the index problem for K-cycles on foliations 114, and the ones introduced by Kreimer in connection with perturbative renormalization theory 296. Both types of Hopf algebras were originally found as organizing principles to simplify some computations. This is not unexpected, in view of our discussion at the end of Chapter 1.
KeywordsFiltration Manifold Covariance Convolution Sine
Unable to display preview. Download preview PDF.