What's the bleeding-edge model for how Population III stars are born and evolve?
This is a more recent review http://arxiv.org/abs/1209.4688 from someone hoping to understand population III by observing their supernovae

Since CR7 was discovered, there's been a bunch of papers on whether it could be pop III - http://arxiv.org/abs/1506.07173 for example. Try searching for "CR7 population III".