We study the formation of molecular hydrogen in cooling gas behind shocks produced during the blow-away process thought to occur in the first collapsed , luminous ( Pop III ) objects in the early universe .
We find that for a wide range of physical parameters the H _ { 2 } fraction is f \approx 6 \times 10 ^ { -3 } .
The H _ { 2 } mass produced in such explosions can exceed the amount of relic H _ { 2 } destroyed inside the photodissociation region surrounding a given Pop III .
We conclude that these first objects , differently from the suggestion of Haiman et al . 1997 , might have a net positive feedback on subsequent galactic formation .
We discuss the effects of radiation and the implications of our results for the soft-UV background .