  The low temperature physics of parahydrogen (ph2) confined in cylindrical
channels of diameter of the order of 1 nm is studied theoretically by Quantum
Monte Carlo simulations. On varying the attractive strength of the wall of the
cylindrical pore, as well as its diameter, the equilibrium phase evolves from a
single quasi-1D channel along the axis, to a concentric cylindrical shell. It
is found that the quasi-1D system retains a strong propensity to
crystallization, even though on weakly attractive substrates quantum
fluctuations reduce somewhat such a tendency compared to the purely 1D system.
No evidence of a topologically protected superfluid phase (in the Luttinger
sense) is observed. Implications on the possible existence of a bulk superfluid
phase of parahydrogen are discussed
