From pre-lamination to foliated plane
Dynamical Systems
2025-12-02 v1 General Topology
Abstract
To a singular foliation on the plane corresponds a circular boundary at infinity endowed with a pre-lamination on the circle. We solve the converse direction. We determine which pre-lamination on the circle are boundary at infinity of a foliation, and we build the corresponding (unique) foliation. We consider both regular foliations and a singular foliations with prong singularities.
Keywords
Cite
@article{arxiv.2512.01751,
title = {From pre-lamination to foliated plane},
author = {Christian Bonatti and Théo Marty},
journal= {arXiv preprint arXiv:2512.01751},
year = {2025}
}
Comments
69 pages, 2 figures