Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory
Representation Theory
2025-08-19 v1
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.
Keywords
Cite
@article{arxiv.2508.13137,
title = {Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory},
author = {Sofia Franchini},
journal= {arXiv preprint arXiv:2508.13137},
year = {2025}
}
Comments
30 pages, 15 figures