Properties of taut foliations

In this talk, we explore some properties and notable constructions of taut foliations. We give an overview of Palmeira’s theorem, which describes the topology of the foliation induced on the universal cover of a manifold by a taut foliation. We then discuss the notion of branching in the leaf space of a taut foliation and explore how this yields information about the foliation itself. Finally, we introduce Anosov flows and discuss how they fit into this general framework.