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arXiv · 2205.05125

Cluster scattering diagrams of acyclic affine type

Nathan Reading·Salvatore Stella
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Abstract

We give an explicit construction of the cluster scattering diagram for any acyclic exchange matrix of affine type. We show that the corresponding cluster scattering fan coincides both with the mutation fan and with a fan constructed in the almost-positive roots model.

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Nathan Reading, Salvatore Stella. 2025-08-01. Cluster scattering diagrams of acyclic affine type. https://arxiv.org/abs/2205.05125

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