Communications in Analysis and Geometry

Volume 14 (2006)

Number 2

Relative differential characters

Pages: 269 – 282



Mark Brightwell

Paul Turner


There are two natural candidates for the group of relative Cheeger-Simons differential characters. The first directly extends the work of Cheeger and Simons and the second extends the description given by Hopkins and Singer of the Cheeger-Simons group as the homology of a certain cochain complex. We discuss both approaches and relate the two relative groups.

2010 Mathematics Subject Classification

Primary 53C07. Secondary 53C05.

Published 1 January 2006