Cluster automorphism group of braid varieties
Combinatorics
2026-05-26 v2 Algebraic Geometry
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.
Cite
@article{arxiv.2505.14889,
title = {Cluster automorphism group of braid varieties},
author = {Soyeon Kim},
journal= {arXiv preprint arXiv:2505.14889},
year = {2026}
}
Comments
20 pages, minor corrections!