A geometric description of the $m$-cluster categories of
type $D_n$
We show that the $m$-cluster category of type $D_n$ is equivalent to a
certain geometrically-defined category of arcs in a punctured
regular $nm-m+1$-gon. This generalises a result of Schiffler for $m=1$.
We use the notion of the $m$th power of a translation quiver to realise
the $m$-cluster category in terms of the cluster category.
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