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Contact 3-manifolds twenty years since J. Martinet's work

Yakov Eliashberg — 1992

Annales de l'institut Fourier

The paper gives an account of the recent development in 3-dimensional contact geometry. The central result of the paper states that there exists a unique tight contact structure on S 3 . Together with the earlier classification of overtwisted contact structures on 3-manifolds this result completes the classification of contact structures on S 3 .

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