Classification des feuilletages moyennables par surfaces

TL;DR

This paper demonstrates that the foliated Euler characteristic uniquely classifies amenable measured foliations, specifically those arising from ergodic actions of the Euclidean plane, providing a new invariant for such structures.

Contribution

It establishes the foliated Euler characteristic as a complete invariant for classifying certain amenable measured foliations.

Findings

Foliated Euler characteristic classifies amenable measured foliations.

Classification applies to foliations from ergodic Euclidean plane actions.

Provides a new invariant for foliation analysis.

Abstract

We prove that the foliated Euler caracteristic classifies amenable measured foliations up to those defined by ergodic actions of the euclidian plane.