Finding the walls for quiver moduli

2025/06/25 by Gianni Petrella, Franzen, Hans, Petrella, Gianni +2 · 1 citation
Computer Science · #Neural Networks and Reservoir Computing

paper · pdf · doi:10.48550/arxiv.2506.20568

Abstract

We give an effective characterisation of the walls in the variation of geometric invariant theory problem associated to a quiver and a dimension vector.

Citations

• The QuiverTools package for SageMath and Julia
• Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers
• Gromov-Witten Theory of A_n type quiver varieties and Seiberg Duality
• Quivers and moduli of their thin sincere representations in Macaulay2
• GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations
• Semi-stable subcategories for Euclidean quivers
• Notes on GIT-fans for quivers

Cited by

• Weyl-invariant subspaces are (usually) not generic

Related

• Wall-crossing formula for framed quiver moduli
• Wall-crossing formulas for framed objects
• Moduli of representations of quivers
• Localization in quiver moduli spaces
• Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry