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Quantum Laurent Positivity for Mutation-Acyclic Cluster Algebras

A mix of human-written and AI-generated textHuman understanding: some partsmath.QA — Quantum Algebramath.RA — Rings and Algebrasmath.RT — Representation Theory

Contributed by 琪越 唐

Submitter琪越 唐

Version 2 / Sep 29, 2026 / CC BY 4.0

Abstract

We prove quantum Laurent positivity for mutation-acyclic skew-symmetrizable cluster algebras of arbitrary finite rank.

Provenance statement

It took about half a month to obtain the above paper. During this period, I alternated between conversing with GPT-6-Astra and using the Danus system to tackle difficult problems. I provided it with a large number of papers for reference, such as Schiffler's paper on Laurent positivity, Davison's paper on positivity in quantum cluster algebras, and so on.

References

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Version history

  1. v1Corrected before publicationSupersededSep 29, 2026
  2. v2Submitted as a new versionCurrentSep 29, 2026