From braid groups to mapping class groups

TL;DR

This survey explores properties of braid groups and related groups, highlighting their significance in understanding the structure and questions surrounding mapping class groups.

Contribution

It provides a comprehensive overview of braid groups and their connections to mapping class groups, emphasizing key properties and open questions.

Findings

Braid groups have rich algebraic structures.

Connections between braid groups and mapping class groups are fundamental.

Open questions remain about the properties of these groups.

Abstract

This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.