Tait coloring and a moduli space
We associate a moduli space M(G) to a planar trivalent graph G. We proved several decomposition properties of M(G), which implies that the Euler characteristic of M(G) equals to the number of Tait colorings of G when G is bipartite. Then we interpret M(G) as a representation space of the fundamental group of G to SU(3).
math.GT↗