Lectures on open book decompositions and contact structures

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

References in corpus (1)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures

Cited by in corpus (7)

• Comultiplicativity of the Ozsvath-Szabo contact invariant
• Lectures on Contact Geometry in Low-Dimensional Topology
• Strong fillability and the Weinstein conjecture
• Open books supporting overtwisted contact structures and Stallings twist
• Torsion and Open Book Decompositions
• An Ozsvath-Szabo Floer homology invariant of knots in a contact manifold
• Giroux correspondence, confoliations, and symplectic structures on S^1 x M