Abstract
In this paper, we give a complete classification of torsion pairs in m-cluster categories of type D when m is odd, denoted by , via a bijection to combinatorial objects called Ptolemy diagrams of type D. As applications, we classify m-rigid subcategories of , which gives Jacquet-Malo’s classification of m-cluster tilting subcategories of . When m = 1, we generalizes the work of Holm, Jørgensen and Rubey [ Citation14] for the classification of torsion pairs in cluster categories of type Dn.
Communicated by Steffen Oppermann
Acknowledgment
The author would like to thank the referees for their helpful comments and suggestions.