THE COMPLEX STRUCTURE OF 2D SURFACES

The complex structure of a surface generated by the two-dimensional dy namical triangulation(DT) is determined by measuring the resistivity o f the surface. It is found that surfaces coupled to matter fields have well-defined complex structures for cases when the matter central cha rges are less than or equal to one, while they become unstable beyond c = 1. A natural conjecture that fine planar random network of resisto rs behave as a continuous sheet of constant resistivity is justified n umerically for c < 1.