arXiv subjects

Sofia Franchini

Publications and source records attributed to Sofia Franchini.

2 recordsLinked to original sources

arXiv2025

Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

We introduce infinite discrete versions of the symmetric Nakayama representations by using techniques of persistence theory. After stabilising, we obtain a family triangulated categories which can be regarded as negative Calabi-Yau versions of the Igusa-Todorov discrete cluster categories of type A. We describe their geometric model and AR theory.

math.RT↗

arXiv2024

Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories

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 of t-structures and co-t-structures are in bijection with non-crossing partitions enriched with some additional data. We also observe that recollements exist in the completion and we classify them.

math.RT↗