A geometric model for cluster categories of type $D_n$
Preprint
- 10 August 2006
- preprint Published in ArXiv
Abstract
We give a geometric realization of cluster categories of type $D_n$ using a polygon with $n$ vertices and one puncture is 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.