Secondary Chern Class: A Characteristic Class Derived from the Cheeger-Chern-Simons Character

The secondary characteristic class associated with the Cheeger-Chern-Simons character is the secondary Chern class. The Cheeger-Chern-Simons character is a differential form on the space of connections on a principal bundle with connection. It is defined as the integral of a certain differential form over the space of connections.

The secondary Chern class is a characteristic class that can be associated with a principal bundle with connection. It is a differential form on the base space of the bundle, and it is defined in terms of the curvature of the connection. In particular, it can be constructed as the differential of the Chern-Simons form, which is a primary characteristic class associated with the curvature of a connection.

In summary, the secondary characteristic class of the Cheeger-Chern-Simons character is the secondary Chern class.