G\'eom\'etrie de contact: de la dimension trois vers les dimensions sup\'erieures
Geometric Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0305129,
title = {G\'eom\'etrie de contact: de la dimension trois vers les dimensions sup\'erieures},
author = {Emmanuel Giroux},
journal= {arXiv preprint arXiv:math/0305129},
year = {2007}
}