Abstract
Recently Giroux [63] proved a central result about the topology of contact 3-manifolds. He showed that there is a one-to-one correspondence between contact structures (up to isotopy) and open book decompositions (up to positive stabilization/destabilization) on a closed oriented 3-manifold. This chapter is devoted to the introduction of relevant notions and also some parts of the proof of this beautiful correspondence.
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© 2004 Springer-Verlag Berlin Heidelberg
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Ozbagci, B., Stipsicz, A.I. (2004). Open Books and Contact Structures. In: Surgery on Contact 3-Manifolds and Stein Surfaces. Bolyai Society Mathematical Studies, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10167-4_9
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DOI: https://doi.org/10.1007/978-3-662-10167-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06184-4
Online ISBN: 978-3-662-10167-4
eBook Packages: Springer Book Archive