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

Standard

Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. / Franchini, Sofia.
In: Mathematische Zeitschrift, Vol. 310, No. 4, 86, 31.08.2025.

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

Harvard

Franchini, S 2025, 'Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories', Mathematische Zeitschrift, vol. 310, no. 4, 86. https://doi.org/10.1007/s00209-025-03746-2

APA

Franchini, S. (2025). Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. Mathematische Zeitschrift, 310(4), Article 86. Advance online publication. https://doi.org/10.1007/s00209-025-03746-2

Vancouver

Franchini S. Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. Mathematische Zeitschrift. 2025 Aug 31;310(4):86. Epub 2025 Jun 9. doi: 10.1007/s00209-025-03746-2

Author

Franchini, Sofia. / Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. In: Mathematische Zeitschrift. 2025 ; Vol. 310, No. 4.

Bibtex

@article{6ff63cce98cd46b09916f7cf7940931a,
title = "Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories",
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.",
author = "Sofia Franchini",
year = "2025",
month = jun,
day = "9",
doi = "10.1007/s00209-025-03746-2",
language = "English",
volume = "310",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "4",

}

RIS

TY - JOUR

T1 - Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories

AU - Franchini, Sofia

PY - 2025/6/9

Y1 - 2025/6/9

N2 - 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.

AB - 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.

U2 - 10.1007/s00209-025-03746-2

DO - 10.1007/s00209-025-03746-2

M3 - Journal article

VL - 310

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 4

M1 - 86

ER -