  In molecular dynamics simulations of soft glass-formers interacting via
repulsions, we find that the glass transition temperature, dynamical
heterogeneity, and glass fragility reach their maxima at the same crossover
pressure $P_d$. Our analysis of the zero-temperature jammed states indicates
that states at $P_d$ have the highest bond orientational order with the largest
spatial fluctuation. Correspondingly, the low-frequency normal modes of
vibration are the least localized and the average potential energy barrier
along these modes are the highest for jammed states in the vicinity of $P_d$.
The reentrant glass transition and dynamics of supercooled liquids are thus
predictable by these structural and vibrational precursors in the
zero-temperature jammed states.
