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A geometric model for cluster categories of type $D_n$

Ralf Schiffler
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Abstract

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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Ralf Schiffler. 2006-08-30. A geometric model for cluster categories of type $D_n$. https://arxiv.org/abs/math/0608264

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