Lectures on open book decompositions and contact structures, preprint

In [14], Giroux showed that all contact structures on compact 3-manifolds come from open book decompositions via the Thurston-Winkelnkemper [27] construction. That is, given any contact structure ξ onM there is an open book decomposition ofM such that ξ is transverse to the binding of the open book and can be isotoped arbitrarily close to th