Topology of hyperplane arrangements via real structure

TL;DR

This paper surveys the topology of hyperplane arrangements, emphasizing the connection between topological properties and real structures, including chamber adjacency and stratifications.

Contribution

It provides a comprehensive overview of how real structures influence the topology of hyperplane arrangements, highlighting relationships and stratifications.

Findings

Chamber adjacency relations are characterized.

Stratifications related to real structures are analyzed.

Topological properties are linked to real arrangements.

Abstract

This note is a survey on the topology of hyperplane arrangements. We mainly focus on the relationship between topology and the real structure, such as adjacent relations of chambers and stratifications related to real structures.