Topology of singular foliation germs in $\mathbb C^2$

TL;DR

This survey provides an overview of the topological properties of singularities in holomorphic foliation germs in two complex variables, highlighting key concepts and classifications.

Contribution

It offers a comprehensive summary of the current understanding of the topology of singular foliation germs in 2, including recent developments and classifications.

Findings

Summarizes key topological invariants of foliation singularities

Classifies types of singularities in 2

Highlights recent advances in the topology of holomorphic foliations

Abstract

The object of this survey is to give an overview on the topology of singularities of holomorphic foliation germs on $(\mathbb C^2,0)$.