J. Mattes, FUNCTIONS ON THE MODULI SPACE OF FLAT G(2)-CONNECTIONS ON A RIEMANN SURFACE, Proceedings of the American Mathematical Society, 125(8), 1997, pp. 2241-2244
This paper contains 1 1/2 proofs that the construction of functions on
the moduli space of flat G-connections from chord diagrams gives all
functions in the case of the simple group G(2).