Yang-Mills and Maxwell configurations in de Sitter space: relevance for quantum theory?

I will review analytic SU(2) Yang-Mills solutions with finite action on de Sitter space from a new perspective. As a byproduct, all abelian solutions are classified and related with rational electromagnetic knots. In an attempt to semiclassically quantize Yang-Mills or Maxwell theory on de Sitter space, these extremal configurations should play a role in the path integral. In the Yang-Mills case, the gravitational backreaction is easily taken in to account as well.