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A Geometric Description of the<i>m</i>-cluster Categories of Type<i>D</i><i>n</i>
Abstract We show that the m-cluster category of type Dn is equivalent to a certain geometrically-defined category of arcs in a punctured regular nm − m + 1-gon. This generalizes a result of Schiffler for m = 1. We use the notion of the mth power of a translation quiver …