Equivariant characteristic forms on the bundle of connections
Abstract
The characteristic forms on the bundle of connections of a principal bundle P→M of degree equal to or less than dim M , determine the characteristic classes of P , and those of degree k+dimM determine certain differential k forms on the space of connections A on P . The equivariant characteristic forms provide canonical equivariant extensions of these forms, and therefore canonical cohomology classes on A/GauP . More generally, for any closed β∈Ω^{r}(M) and f∈IkG , with 2k+r≥dimM , a cohomology class on A/GauP is obtained. These classes are shown to coincide with some classes previously defined by Atiyah and Singer.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 June 2005
 DOI:
 10.1016/j.geomphys.2004.09.005
 arXiv:
 arXiv:mathph/0307022
 Bibcode:
 2005JGP....54..197F
 Keywords:

 Mathematical Physics;
 Mathematics  Differential Geometry
 EPrint:
 16 pages