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arXiv · 2403.08735

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

Sofia Franchini
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Abstract

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.

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Sofia Franchini. 2024-03-13. Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories. https://arxiv.org/abs/2403.08735

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