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

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

2003-05-08

arxiv.org/abs/math/0305129v1

Proceedings of the ICM, Beijing 2002, vol. 2, 405--414

Mathematics

Geometric Topology

Scientific paper

On d\'ecrit ici des relations entre la g\'eom\'etrie globale des vari\'et\'es de contact closes et celle de certaines vari\'et\'es symplectiques, \`a savoir les vari\'et\'es de Stein compactes. L'origine de ces relations est l'existence de livres ouverts adapt\'es 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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