Seifert's conjecture for almost symplectic foliations

TL;DR

This paper disproves Seifert's conjecture in the context of almost symplectic foliations with codimension three or higher, challenging previous assumptions in the field.

Contribution

It provides the first counterexamples to Seifert's conjecture for almost symplectic foliations of higher codimension.

Findings

Disproved Seifert's conjecture for codimension ≥ 3

Constructed counterexamples in almost symplectic foliations

Challenged existing beliefs about foliation dynamics

Abstract

We disproving Seifert's conjecture for almost symplectic foliations with co-dimension bigger or equal to 3.