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arXiv · 2505.14889

Cluster automorphism group of braid varieties

Soyeon Kim
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Abstract

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.

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Soyeon Kim. 2026-05-25. Cluster automorphism group of braid varieties. https://arxiv.org/abs/2505.14889

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