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arXiv · 1311.4804

Mutation of torsion pairs in cluster categories of Dynkin type $D$

Sira Gratz
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Abstract

Mutation of torsion pairs in triangulated categories and its combinatorial interpretation for the cluster category of Dynkin type $A_n$ and of type $A_\infty$ have been studied by Zhou and Zhu. In this paper we present a combinatorial model for mutation of torsion pairs in the cluster category of Dynkin type $D_n$, using Ptolemy diagrams of Dynkin type $D_n$ which were introduced by Holm, Jørgensen and Rubey.

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Sira Gratz. 2014-04-07. Mutation of torsion pairs in cluster categories of Dynkin type $D$. https://doi.org/10.1007/s10485-014-9387-2

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