Boundedness criteria for real quivers of rank 3

2025/05/22 by Casals, Roger, Ke, Kenton
#Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2505.16955

Abstract

We study the boundedness of a mutation class for quivers with real weights. The main result is a characterization of bounded mutation classes for real quivers of rank 3.

Citations

• Mutation Cycles from Reddening Sequences
• Mutation-acyclic quivers are totally proper
• Cyclically ordered quivers
• Congruence invariants of matrix mutation
• A binary invariant of matrix mutation
• Long mutation cycles
• Mutation-finite quivers with real weights
• Introduction to Cluster Algebras
• On the approximate periodicity of sequences attached to noncrystallographic root systems
• The positive Grassmannian, the amplituhedron, and cluster algebras
• Cluster-Cyclic Quivers with three Vertices and the Markov Equation
• Double Bruhat cells and total positivity

Related

• Mutation-finite quivers with real weights
• The mutation class of D_n quivers
• Properties of minimal mutation-infinite quivers
• The coloured mutation class of \mathbbA_n quivers
• The existence of a maximal green sequence is not invariant under quiver mutation