Abstract
We use a powerful Analytical Model of Igm and GAlaxy formation and evolution (AMIGA) to bracket the reionisation history of the universe. The model includes in a fully consistent way molecular cooling and follows the formation and feedback effects of Population III (Pop III) stars and their remnants (black holes and metals), together with the formation and evolution of the subsequent generations of ordinary galaxies as well as their feedback effects. We analyse the galaxy formation history predicted by the model that better fits the different observables currently available on the high-z universe (z>3). We show that all these observables on the evolution of cosmic properties and the shape of the luminosity function (LF) of LBGs at different z's put very severe constraints on the reionisation history of the universe.
