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Bibliographic Details
Main Author: Kim, Soyeon
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.14889
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Table of Contents:
  • The cluster automorphism group of a cluster variety was defined by Gekhtman--Shapiro--Vainshtein, and later studied by Lam--Speyer. Braid varieties are interesting affine algebraic varieties indexed by positive braid words. It was proved recently that braid varieties are cluster varieties. In this paper, we propose a description of the cluster automorphism group and its action on braid varieties, and compute several examples.