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arxiv: 0805.3051 · v1 · submitted 2008-05-20 · 🧮 math.SG · math.GT

Finitude homotopique et isotopique des structures de contact tendues

classification 🧮 math.SG math.GT
keywords contactstructuresclassesfinitenumbertightatoroidalclosed
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Let V be a closed 3-manifold. In this paper we prove that the homotopy classes of plane fields on V that contain tight contact structures are in finite number and that, if V is atoroidal, the isotopy classes of tight contact structures are also in finite number.

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