Introduction to the language of stacks and gerbes

TL;DR

This paper introduces the concept of gerbes to topologists, focusing on non-abelian cohomology, and aims to bridge the gap between abstract theory and topological applications.

Contribution

It provides an accessible introduction to gerbes and non-abelian cohomology tailored for topologists, highlighting their relevance and applications.

Findings

Clarified the role of gerbes in non-abelian cohomology

Connected gerbes to topological concepts and applications

Provided foundational knowledge for further research

Abstract

This is an introduction to gerbes for topologists, with emphasis on non-abelian cohomology.