Tensor Products of Quiver Bundles

2025/03/14 by Numpaque-Roa, Juan Sebastian
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.11606

Abstract

In this work we introduce a notion of tensor product of (twisted) quiver representations with relations in the category of O_X-modules. As a first application of our notion, we see that tensor products of polystable quiver bundles are polystable and later we use this to both deduce a quiver version of the Segre embedding and to identify distinguished closed subschemes of GL(n,ℂ)-character varieties of free abelian groups.

Related

• Tensor product of representations of quivers
• Quiver representations in abelian categories
• Geometric Construction of Quiver Tensor Products
• HOMOLOGICAL ALGEBRA OF TWISTED QUIVER BUNDLES
• Moduli for decorated tuples of sheaves and representation spaces for quivers