A geometric model for cluster categories of type $D_n$

Details A geometric model for cluster categories of type $D_n$ A geometric model for cluster categories of type $D_n$

2006-08-10

arxiv.org/abs/math/0608264v3

Mathematics

Representation Theory

20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)

Scientific paper

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.

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