Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin
type $$A_{ \infty }$$ | SpringerLink Skip to main content Advertisement SpringerLink Log in …

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 …

In this paper, we give a complete classification of torsion pairs in m-cluster categories of type
D when m is odd, denoted by CD nm, via a bijection to combinatorial objects called Ptolemy …

In this article, we define the notion of $ n $-cotorsion pairs in triangulated categories, which
is a generalization of the classical cotorsion pairs. We prove that any mutation of an $ n …

We give a classification of torsion pairs, t-structures, and co-t-structures in the Paquette-
Yildirim completion of the Igusa-Todorov discrete cluster category. We prove that the aisles …

We give a complete classification of torsion pairs in repetitive cluster categories of type $
A_n $, which were defined by Zhu as the orbit categories, via certain configurations of …

In this thesis we look at two closely related families of categories: the discrete cluster
categories of Dynkin type A∞, and their completions in the sense of Paquette and Yıldırım …

Gratz, S., Holm, T. and Jorgensen, P. (2019) Cluster tilting subcategories and torsion pairs in
Igusa-Todorov cluster categories Page 1 Gratz, S., Holm, T. and Jorgensen, P. (2019) Cluster …