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Lectures on open book decompositions and contact structures. (English) Zbl 1108.53050

Ellwood, David A. (ed.) et al., Floer homology, Gauge theory, and low-dimensional topology. Proceedings of the Clay Mathematics Institute 2004 summer school, Budapest, Hungary, June 5–26, 2004. Providence, RI: American Mathematical Society (AMS). Cambridge, MA: Clay Mathematics Institute (ISBN 0-8218-3845-8/pbk). Clay Mathematics Proceedings 5, 103-141 (2006).
The goal of this survey paper is to prove E. Giroux’s fundamental theorem [Contact geometry: From dimension three to higher dimensions. Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press, 405–414 (2002; Zbl 1015.53049)] and to sketch some of its applications and consequences.
For the entire collection see [Zbl 1097.57001].

MSC:

53D35 Global theory of symplectic and contact manifolds
57R17 Symplectic and contact topology in high or arbitrary dimension

Citations:

Zbl 1015.53049
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