Cluster integrable systems

2025/03/24 by Bershtein, Mikhail
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2503.18573

Abstract

In these lecture notes, we give an introduction to cluster integrable systems. The topics include relativistic Toda systems, moduli spaces of framed local systems, Goncharov-Kenyon integrable systems, and quantization.

Related

• Integrable systems and cluster algebras
• Group Theory Structures Underlying Integrable Systems
• Dimers and cluster integrable systems
• Cluster algebras and discrete integrability
• Lectures on integrable Hamiltonian systems