Quiver braid group action for a 3-fold crepant resolution
Algebraic Geometry
2026-04-09 v2
Abstract
The 3-fold cyclic quotient singularity denoted admits a crepant resolution X with three exceptional Hirzebruch surfaces intersecting pairwise along curves. We show that the derived category D(X) carries a faithful action of a quiver braid group, where the relevant quiver is a 3-cycle encoding the intersection data.
Cite
@article{arxiv.2512.19140,
title = {Quiver braid group action for a 3-fold crepant resolution},
author = {Will Donovan and Luyu Zheng},
journal= {arXiv preprint arXiv:2512.19140},
year = {2026}
}
Comments
14 pages, 9 figures