We construct a reparametrization invariant two-point function for c =
-2 conformal matter coupled to two-dimensional quantum gravity. From t
he two-point function we extract the critical indices nu and eta. The
results support the quantum gravity version of Fisher's scaling relati
on. Our approach is based on the transfer matrix formalism and exploit
s the formulation of the c = -2 string as an O(n) model on a random la
ttice. (C) 1997 Elsevier Science B.V.