Modular quantum cosmology

We study solutions of the Wheeler-DeWitt equation corresponding to an S-mod ular invariant N = 1 supergravity model and a closed homogeneous and isotro pic Friedmann-Robertson-Walker spacetime. The issues of inflation and the c osmological constant problem are addressed with the help of the relevant wa vefunctions. We find that topological-type inflation is consistent from the quantum mechanical point of view and that a solution for the cosmological constant problem along the lines of the strong CP problem arises naturally.