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arXiv · 2508.13137

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

Sofia Franchini
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Abstract

We introduce infinite discrete versions of the symmetric Nakayama representations by using techniques of persistence theory. After stabilising, we obtain a family triangulated categories which can be regarded as negative Calabi-Yau versions of the Igusa-Todorov discrete cluster categories of type A. We describe their geometric model and AR theory.

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BibTeXRIS

Sofia Franchini. 2025-08-18. Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory. https://arxiv.org/abs/2508.13137

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