Structures de contact en dimension trois et bifurcations des feuilletages de surfaces

  title={Structures de contact en dimension trois et bifurcations des feuilletages de surfaces},
  author={Emmanuel Giroux},
  journal={Inventiones mathematicae},
The main purpose of this article is to classify contact structures on some 3-manifolds, namely lens spaces, most torus bundles over a circle, the solid torus, and the thickened torus T^2 x [0,1]. This classification completes earlier work (by Etnyre [math.DG/9812065], Eliashberg, Kanda, Makar-Limanov, and the author) and results from the combination of two techniques: surgery, which produces many contact structures, and tomography, which allows one to analyse a contact structure given a priori… 
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