On the coarse classification of tight contact structures

Emmanuel Giroux; Ko Honda; Vincent Colin

arxiv: math/0305186 · v1 · submitted 2003-05-13 · 🧮 math.GT · math.DG· math.SG

On the coarse classification of tight contact structures

Vincent Colin , Emmanuel Giroux , Ko Honda This is my paper

classification 🧮 math.GT math.DGmath.SG

keywords contactstructurestightclasseseveryfinitelymanifoldmany

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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) Every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.

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On the coarse classification of tight contact structures

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