Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry

Abstract

These lecture notes consist of an introduction to moduli spaces in algebraic geometry, with a strong emphasis placed on examples related to the theory of quiver representations. The goal is to provide the background necessary to understand the construction of the moduli spaces of stable and semistable quiver representations due to King, Nakajima's quiver varieties, as well as some 'quiver versions' of existing moduli spaces of algebra-geometric objects.

82 pages, lecture notes based on a 2019 graduate course taught at Aarhus University, corrected minor errors and typos

References in corpus (4)

• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Lectures on Nakajima's Quiver Varieties
• Geometry of Multiplicative Preprojective Algebra
• Moduli of semistable sheaves as quiver moduli

Cited by in corpus (1)

• Combinatorics of Nahm sums, quiver resultants and the K-theoretic condition