Cup-length estimates for leaf-wise intersections

TL;DR

This paper establishes a lower bound on the number of leaf-wise intersections on certain hypersurfaces using cup-length estimates, contributing to symplectic topology and intersection theory.

Contribution

It introduces a new cup-length estimate to bound leaf-wise intersections on restricted contact type hypersurfaces, advancing understanding in symplectic geometry.

Findings

Lower bound on leaf-wise intersections proved

Cup-length estimates applied to hypersurfaces

Advances in symplectic intersection theory

Abstract

We prove that on a restricted contact type hypersurface the number of leaf-wise intersections is bounded from below by a certain cup-length.