twisted de Rham cohomology
Connections on bundles
Higher abelian differential cohomology
Higher nonabelian differential cohomology
Application to gauge theory
For a smooth manifold and a closed differential 3-form, the twisted de Rham complex is the -graded vector space equipped with the -twisted de Rham differential
Notice that this is nilpotent, due to the odd degree of , such that , and the closure of , .
Twisted de Rham cohomology is the recipient of the twisted Chern character in twisted differential K-theory.
Revised on February 26, 2016 06:02:05
by Urs Schreiber