The Stolz-Teichner programme has demonstrated that field theories in various dimensions are admirable co-cycles for cohomology theories. In this talk, we will see that they are in fact rich enough to be co-cycles for differential cohomology theories.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/158