Lectures on open book decompositions and contact structures

Details Lectures on open book decompositions and contact structures Lectures on open book decompositions and contact structures

2004-09-21

arxiv.org/abs/math/0409402v3

Mathematics

Symplectic Geometry

38 pages, 19 figures, many typos corrected and an error in Lemma 3.5 corrected

Scientific paper

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.

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