Tight contact structures and taut foliations.

Let $M$ be a compact oriented 3-manifold whose boundary contains a single torus $P$ and let $ℱ$ be a taut foliation on $M$ whose restriction to $\partial M$ has a Reeb component. The main technical result of the paper, asserts that if $N$ is obtained by Dehn filling $P$ along any curve not parallel to the Reeb component, then $N$ has a taut foliation.

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

Yakov Eliashberg (1992)

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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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Symplectic fillability of tight contact structures on torus bundles.

Ding, Fan, Geiges, Hansjörg (2001)

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