  We associate a moduli problem to a colored trivalent graph; such graphs, when
planar, appear in the state-sum description of the quantum sl(N) knot
polynomial due to Murakami, Ohtsuki, and Yamada. We discuss how the resulting
moduli space can be thought of a representation variety. We show that the Euler
characteristic of the moduli space is equal to the quantum sl(N) polynomial of
the graph evaluated at unity. Possible extensions of the result are also
indicated.

Geometric Topology