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

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arxiv 2403.08735 v2 pith:4O4ADZ2C submitted 2024-03-13 math.RT math.CT

Sofia Franchini This is my paper · ORCID
classification math.RTmath.CT
keywords co-t-structurest-structuresclustercompletiondiscretepairstorsionadditional
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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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Cited by 1 Pith paper

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  1. Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

    math.RT 2025-08 unverdicted novelty 7.0 of 10

    The paper constructs infinite discrete Nakayama representations via persistence theory and stabilizes them into negative Calabi-Yau versions of Igusa-Todorov discrete cluster categories of type A, with geometric model...

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