Géométrie de contact: de la dimension trois vers les dimensions supérieures
arXiv:math/0305129
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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- Classification of tight contact structures on small Seifert 3-manifolds with e_0\geq 0
- Ozsvath-Szabo invariants and fillability of contact structures