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Fillings of Contact 3-Manifolds

  • Burak Ozbagci
  • András I. Stipsicz
Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 13)

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.

Keywords

Contact Structure Lens Space Rational Homology Sphere Compact Symplectic Manifold Tight Contact Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Burak Ozbagci
    • 1
  • András I. Stipsicz
    • 2
  1. 1.Koc UniversityIstanbulTurkey
  2. 2.Hungarian Academy of SciencesAlfréd Rényi Institute of MathematicsBudapestHungary

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