Mutation of torsion pairs in discrete cluster categories of Dynkin type A∞

Mutation of torsion pairs is a generalization of mutation of cluster tilting subcategories. Torsion pairs and cluster tilting subcategories in Igusa-Todorov cluster categories of type A infinity have been classified by Gratz-Holm-J & oslash;rgensen in [12]. In this paper we give a geometric realization of mutation of torsion pairs in discrete cluster categories of Dynkin type A infinity by rotating some combinatorial models in S 1 . This result generalizes a work of Zhou-Zhu for cluster category of type A infinity [27]. (c) 2024 Elsevier B.V. All rights reserved.