Moduli of representations of quivers

TL;DR

This paper introduces the concept of moduli spaces for quiver representations, surveys their geometric properties, and discusses various methods for their study, aiming to facilitate classification and understanding of these mathematical objects.

Contribution

It provides a comprehensive overview of the construction, properties, and methods related to moduli spaces of quiver representations, highlighting their significance in classification problems.

Findings

Survey of geometric properties of moduli spaces

Discussion of topological, arithmetic, and algebraic methods

Review of construction techniques for moduli spaces

Abstract

An introduction to moduli spaces of representations of quivers is given, and results on their global geometric properties are surveyed. In particular, the geometric approach to the problem of classification of quiver representations is motivated, and the construction of moduli spaces is reviewed. Topological, arithmetic and algebraic methods for the study of moduli spaces are discussed.