(2-DIMENSIONAL QUANTUM-GRAVITY AND THE 3D-ISING MODEL(1))

We show that (2 + 1)-dimensional Euclidean quantum gravity is equivale nt, under mild topological assumptions, to a Gaussian fermionic system . Furthermore we argue that the corresponding (2 + 1)-dimensional Eucl idean quantum gravity partition function may be related to the partiti on function of the reduced 3D-lattice Ising model for finite lattices.