Mathematical Research Letters
Volume 8, Issue 4, July 2001 pp. 457-468.
Gauge Interpretation of Characteristic ClassesAuthors: M. Castrillón López and J. Mu\~{n}oz Masqué
Author institution: Universidad Complutense, and Instituto de Física Aplicada
Summary: It is proved that characteristic forms generate, over $\Omega^{\bullet}(M)$, the algebra of differential forms on the bundle of connections $p\colon C(P)\rightarrow M$ of a principal $G$-bundle $\pi\colon P\rightarrow M$ which are invariant under the natural representation of the gauge algebra of $P$ on connections. The invariance under the Lie algebra of all infinitesimal automorphisms of $P$ is also analyzed.
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