Transversalit\'e quantitative en g\'eom\'etrie symplectique : sous-vari\'et\'es et hypersurfaces

TL;DR

This paper establishes a quantitative transversality theorem relative to a submanifold within symplectic geometry, providing precise estimates for intersections and transversality conditions.

Contribution

It introduces a new quantitative transversality result in symplectic geometry that extends classical theorems by incorporating estimates relative to submanifolds.

Findings

Proves a main theorem on estimated transversality with respect to submanifolds

Provides explicit bounds and conditions for transversality in symplectic settings

Enhances understanding of intersections in symplectic topology

Abstract

Le th\'eor\`eme principal de cet article est un r\'esultat de transversalit\'e quantitative relatif \`a une sous-vari\'et\'e. The main theorem of this paper is a result of estimated transversality with respect to a given submanifold.