Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661164 | Topology and its Applications | 2007 | 24 Pages |
Abstract
The Chern character of a complex vector bundle is most conveniently defined as the exponential of a curvature of a connection. It is well known that its cohomology class does not depend on the particular connection chosen. It has been shown by Quillen that a connection may be perturbed by an endomorphism of the vector bundle, such as a symbol of some elliptic differential operator. This point of view, as we intend to show, allows one to relate Chern character to a noncommutative sibling formulated by Connes and Moscovici.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology