# MathSciDoc: An Archive for Mathematician ∫

#### CombinatoricsRepresentation TheoryRings and Algebrasmathscidoc:2204.06002

Algebra and Representation Theory, 21, 817-832, 2017.10
We introduce and study mutation of torsion pairs, as a generalization of mutation of cluster tilting objects, rigid objects and maximal rigid objects. It is proved that any mutation of a torsion pair is again a torsion pair. A geometric realization of mutation of torsion pairs in the cluster category of type A_n or A_\infty is given via rotation of Ptolemy diagrams.
@inproceedings{yu2017mutation,
title={Mutation of Torsion Pairs in Triangulated Categories and its Geometric Realization},
author={Yu Zhou, and Bin Zhu},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429164618957760176},
booktitle={Algebra and Representation Theory},
volume={21},
pages={817-832},
year={2017},
}

Yu Zhou, and Bin Zhu. Mutation of Torsion Pairs in Triangulated Categories and its Geometric Realization. 2017. Vol. 21. In Algebra and Representation Theory. pp.817-832. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429164618957760176.