Quiver braid group action for a 3-fold crepant resolution
Abstract
The 3-fold cyclic quotient singularity denoted 17(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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