Lectures on open book decompositions and contact structures
arXiv:math/0409402
Abstract
These are lecture notes from the Clay Mathematics Institute summer school ``Floer Homology, Gauge Theory, and Low Dimensional Topology'' Alfred Renyi Institute; www.claymath.org/programs/summer_school/2004/. The main goal of these notes is to sketch a proof of Giroux correspondence between open book decompositions of three manifolds and contact structures, and then discuss various applications of this correspondence.
38 pages, 19 figures, many typos corrected and an error in Lemma 3.5 corrected