Torsion pairs in finite $2$-Calabi-Yau triangulated categories with maximal rigid objects

Cotorsion pairs in cluster categories of typeA∞∞

“…rigid objects. (5) Chang and Zhu [5] classified torsion pairs in finite 2-Calabi-Yau triangulated categories with maximal rigid objects via periodic Ptolemy diagrams of a regular polygon. Notice that the works above only deal with 2-Calabi-Yau categories having cluster tilting subcategories or maximal rigid subcategories, which contain finitely many indecomposable objects except Ng's work.…”