Resonant production of topological defects

We describe a novel phenomenon in which vortices are produced due to resona nt oscillations of a scaler field which is driven by a periodically varying temperature T-c with T remaining much below the critical temperature T-c. Also, in a rapid heating of a localized region to a temperature below T-c, far separated vortex and antivortex can form. We compare our results with r ecent models of defect production during reheating after inflation. We also discuss possible experimental tests of our predictions of topological defe ct production,without ever going through a phase transition.