Abstract
We will briefly review the classical formulation of the 3-handle \U0001d4ae1 × \U0001d4ae2 and 3-sphere \U0001d4ae3 Gowdy cosmological models coupled with massless scalar fields and their exact (non-perturbative) quantization by defining suitable Schrödinger functional representations in terms of appropriate probability spaces. We will pay special attention to the construction of closed expressions for the corresponding quantum time evolution propagators.
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