Cluster Algebras and Scattering Diagrams, Part I. Basics in Cluster Algebras

Abstract

This is a first step guide to the theory of cluster algebras. We especially focus on basic notions, techniques, and results concerning seeds, cluster patterns, and cluster algebras.

arXiv commentv1: 80 pp; v2: 82 pp, Prop 2.4 corrected, index added; v3: 85 pp. This is the final manuscript of Part I of the monograph "Cluster Algebras and Scattering Diagrams'', MSJ Mem. 41 (2023) by the author