Abstract
This chapter is devoted to the study of fillability properties of contact 3-manifolds. After having the necessary definitions we will see different types of fillings, and give a family of tight, nonfillable contact structures. The construction of these latter examples utilizes contact surgery, while tightness is proved by computing contact Ozsváth-Szabó invariants (see Chapter 14). In the last section we will concentrate on topological restrictions a contact 3-manifold imposes on its Stein fillings.
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© 2004 Springer-Verlag Berlin Heidelberg
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Ozbagci, B., Stipsicz, A.I. (2004). Fillings of Contact 3-Manifolds. 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_12
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DOI: https://doi.org/10.1007/978-3-662-10167-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06184-4
Online ISBN: 978-3-662-10167-4
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