  We extend the treatment of quantum cosmology to a manifold with torsion. We
adopt a model of Einstein-Cartan-Sciama-Kibble compatible with the cosmological
principle. The universe wavefunction will be subject to a
$\mathcal{PT}$-symmetric Hamiltonian. With a vanishing energy-momentum tensor,
the universe evolution in the semiclassical and classical regimes is shown to
reflect a two-stage inflationary process induced by torsion.
