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math.GT2003★ 3 cited
Notes on the isotopy finiteness
Vincent Colin, Emmanuel Giroux, Ko Honda
This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
math.GT2003
On the coarse classification of tight contact structures
Vincent Colin, Emmanuel Giroux, Ko Honda
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures. (2)…