Work

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

Year: 2025

Type: article

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.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-025-03746-2

Author: Sofia Franchini

Institution: Lancaster University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Engineering and Physical Sciences Research Council, Division of Mathematical Sciences