Fillings of Contact 3-Manifolds

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


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.


Contact Structure Lens Space Rational Homology Sphere Compact Symplectic Manifold Tight Contact Structure 
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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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