Topological Landau-Ginzburg Models

We derive a general expression for correlation functions of topological Landau-Ginzburg models on an arbitrary genus Riemann surface. The expressions we find for the correlation functions suggest that for ĉ>1 the perturbation of the theory by chiral primary fields of dimensions bigger than one is rather singular, though perturbation by relevant chiral primary fields seems sensible regardless of the value of ĉ.