Cluster scattering diagrams of acyclic affine type

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Reading, Nathan, Stella, Salvatore
Format: Preprint
Published: 2022
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915420518219776
author Reading, Nathan
Stella, Salvatore
author_facet Reading, Nathan
Stella, Salvatore
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2205_05125
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Cluster scattering diagrams of acyclic affine type
Reading, Nathan
Stella, Salvatore
Combinatorics
Representation Theory
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.
title Cluster scattering diagrams of acyclic affine type
topic Combinatorics
Representation Theory
url https://arxiv.org/abs/2205.05125