Recall goal:

Find an exact formula for the Chern-Simons-Witten path integral as an integral over group elements of integrands whose structure directly reflects some standard combinatorial presentation of the underlying topology.

Will demonstrate next: (assuming Conjecture)

μγ is itself an integral over group elements of integrands whose structure directly reflects the underlying topology.

More precisely:

For any γ, μγ can be constructed in a systematic manner from μ(Tet), where

Tet:=.