Equivariant characteristic classes in the bundle of connections
arXiv:math-ph/0307022 · doi:10.1016/j.geomphys.2004.09.005
Abstract
The characteristic forms in the bundle of connections of a principal bundle P over M determine the characteristic classes of P for degree less or equal to the dimension of M, and differential forms on the space of connections for higher degree. The equivariant characteristic classes provide canonical equivariant extensions of this forms, and so cohomology classes in the quotient space of connections modulo gauge transformations. More generally, given a closed differential form in M and a characteristic form, we obtain a cohomology class in the space of connections modulo gauge transformations, and we show that these classes coincide with some classes previously defined by Atiyah and Singer.
16 pages
References in corpus (1)
Cited by in corpus (7)
- Local Anomalies, Local Equivariant Cohomology and the Variational Bicomplex
- On the geometrical interpretation of locality in anomaly cancellation
- Differential characters and cohomology of the moduli of flat Connections
- Equivariant prequantization bundles on the space of connections and characteristic classes
- Euler-Lagrange equations for functionals defined on Fréchet manifolds
- Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
- Flat connections and cohomology invariants