CrossRef Open Access 2025

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

Sofia Franchini

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Abstrak

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.

Penulis (1)

Sofia Franchini

Format Sitasi

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Franchini, S. (2025). Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. https://doi.org/10.1007/s00209-025-03746-2

Akses Cepat

Lihat di Sumber doi.org/10.1007/s00209-025-03746-2

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.1007/s00209-025-03746-2
Akses: Open Access ✓