Ralf Schiffler
Published 2006-08-10, updated 2006-08-30Version 3
We give a geometric realization of cluster categories of type $D_n$ using a polygon with $n$ vertices and one puncture in its center as a model. In this realization, the indecomposable objects of the cluster category correspond to certain homotopy classes of paths between two vertices.
Comments: 20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)
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