Singular Foliations of Surfaces

Title

Singular Foliations of Surfaces

Subject

Mathematics

Creator

Francis Jordan and Aidan Murray

Date

2025

Abstract

This paper provides a comprehensive introduction of foliations and singular foliations. We explore the meaning of a foliation of a surface, what it means for a leaf to be regular, the types of singularities that can occur on a singular foliation, and the compactification of the plane by adding a circle at infinity, as described by Christian Bonnatti.

Meta Tags

foliations, singular foliations, topology, mathematics

Files

Collection

Citation

Francis Jordan, “Singular Foliations of Surfaces,” URSS SHOWCASE, accessed November 4, 2025, https://urss.warwick.ac.uk/items/show/859.