A geometric model for cluster categories of type $D_n$
Abstract
Description
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.
20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)
20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)