Mutation of Torsion Pairs in Triangulated Categories and its Geometric Realization |
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| Authors: | Yu Zhou Bin Zhu |
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| Institution: | 1.Department of Mathematical Sciences,Tsinghua University,Beijing,China;2.Department of Mathematical Sciences,Norwegian University of Science and Technology,Trondheim,Norway |
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| Abstract: | 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 ∞ is given via rotation of Ptolemy diagrams. |
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