Home > Research > Publications & Outputs > Torsion pairs, t-structures, and co-t-structure...

Research

Electronic data

  • article

    Accepted author manuscript, 1.87 MB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

E-pub ahead of print
Article number86
<mark>Journal publication date</mark>31/08/2025
<mark>Journal</mark>Mathematische Zeitschrift
Issue number4
Volume310
Publication StatusE-pub ahead of print
Early online date9/06/25
<mark>Original language</mark>English

Abstract

We give a classification of torsion pairs, t-structures, and co-t-structures in the Paquette–Yıldırım 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.