  We define a wave-function for string theory cosmological backgrounds. We give
a prescription for computing its norm following an earlier analysis within
general relativity. Under Euclidean continuation, the cosmologies we discuss in
this paper are described in terms of compact parafermionic worldsheet systems.
To define the wave-function we provide a T-fold description of the
parafermionic conformal field theory, and of the corresponding string
cosmology. In specific examples, we compute the norm of the wave-function and
comment on its behavior as a function of moduli.
