Consistency relations of rank 2 cluster scattering diagrams of affine type and pentagon relation

2021/12/09 by Kodai Matsushita, Matsushita, Kodai
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2112.04743

Abstract

In this paper, we prove the consistency relations of rank 2 cluster scattering diagrams of affine type by using the pentagon relation.

Related

• Cluster scattering coefficients in rank 2
• Pentagon relation in quantum cluster scattering diagrams
• Some coefficients of rank 2 cluster scattering diagrams
• A combinatorial approach to scattering diagrams
• Explicit forms in lower degrees of rank 2 cluster scattering diagrams