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arXiv · 2512.19140

Quiver braid group action for a 3-fold crepant resolution

Will Donovan·Luyu Zheng
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Abstract

The 3-fold cyclic quotient singularity denoted $\tfrac{1}{7}(1,2,4)$ 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.

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Will Donovan, Luyu Zheng. 2025-12-22. Quiver braid group action for a 3-fold crepant resolution. https://arxiv.org/abs/2512.19140

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