A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

TL;DR

This survey reviews the Johnson homomorphisms of automorphism groups of free groups, summarizing well-known facts and recent developments in the field.

Contribution

It provides an overview of existing knowledge and recent progress on Johnson homomorphisms related to automorphism groups of free groups.

Findings

Summarizes key properties of Johnson homomorphisms

Highlights recent advances in the area

Connects Johnson homomorphisms to related topics

Abstract

This is a biased survey for the Johnson homomorphisms of the automorphism groups of free groups. We just exposit some well known facts and recent developments for the Johnson homomorphisms and its related topics.