# Equivariant characteristic forms on the bundle of connections

@article{Prez2005EquivariantCF,
title={Equivariant characteristic forms on the bundle of connections},
author={Roberto Ferreiro P{\'e}rez},
journal={Journal of Geometry and Physics},
year={2005},
volume={54},
pages={197-212}
}
• R. Pérez
• Published 9 July 2003
• Mathematics, Physics
• Journal of Geometry and Physics
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 + dim ⁡ M 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 / Gau 0 P . More generally, for any closed β ∈ Ω r ( M ) and f ∈ I k G…
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