On Amiot's conjecture

Bernhard Keller; Junyang Liu

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arXiv · 2311.06538

On Amiot's conjecture

Bernhard Keller·Junyang Liu

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Abstract

In a survey paper in 2011, Amiot proposed a conjectural characterisation of the cluster categories which were conceived in the mid 2000s to lift the combinatorics of Fomin-Zelevinsky's cluster algebras to the categorical level. This paper is devoted to a proof of (a variant of) her conjecture. More generally, cluster categories admit higher-dimensional and relative variants, the so-called Higgs categories recently introduced by Wu. We also prove higher-dimensional and relative variants of the conjecture.

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BibTeX RIS

Bernhard Keller, Junyang Liu. 2023-11-11. On Amiot's conjecture. https://arxiv.org/abs/2311.06538

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