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Géométrie de contact: de la dimension trois vers les dimensions supérieures

Emmanuel Giroux
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Abstract

On décrit ici des relations entre la géométrie globale des variétés de contact closes et celle de certaines variétés symplectiques, à savoir les variétés de Stein compactes. L'origine de ces relations est l'existence de livres ouverts adaptés aux structures de contact. We discuss relations between the global geometry of closed contact manifolds and the geometry of compact symplectic Stein manifolds that they bound. The origin of these relations is the existence of open book decompositions adapted to contact structures.

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Emmanuel Giroux. 2003-05-08. Géométrie de contact: de la dimension trois vers les dimensions supérieures. https://arxiv.org/abs/math/0305129

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