Abstract
Now we are in the position to describe the contact version of the smooth surgery scheme we started our notes with. This method provides a rich and yet to be explored source of all kinds of contact 3-manifolds. The approach to 3-dimensional contact topology we outline here was initiated by Ding and Geiges [16, 17], see also [18, 19]. Using contact surgery diagrams — and applying achiral Lefschetz fibrations — we will make connection to Giroux’s theory on open book decompositions, and we will also show a way to determine homotopic properties of the contact structures under examination. We begin by reviewing the classification of tight structures on S l × D 2 due to Honda — this is the result which allows us to define contact surgery diagrams.
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© 2004 Springer-Verlag Berlin Heidelberg
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Ozbagci, B., Stipsicz, A.I. (2004). Contact Dehn Surgery. 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_11
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DOI: https://doi.org/10.1007/978-3-662-10167-4_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06184-4
Online ISBN: 978-3-662-10167-4
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