A geometric model for cluster categories of type D_n
classification
🧮 math.RT
math.RA
keywords
clustercategoriesgeometricmodelrealizationtypeverticescategory
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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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