2 papers
math.RT2025
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory
Sofia Franchini
We introduce infinite discrete versions of the symmetric Nakayama representations by using techniques of persistence theory. After stabilising, we obtain a family triangulated cate…
math.RT2024
Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories
Sofia Franchini
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 a…