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Algebraicity of rank-two scattering wall functions

Contributed by Qiyue Tang

We prove that every wall function in the rank-two scattering factorization determined by two polynomial initial walls over a field of characteristic zero is algebraic. This resolves the algebraicity question posed by Kontsevich and recorded by Gross and Pandharipande, and its cluster-scattering formulation in the work of Burcroff, Lee, Mou, Musiker, and Reineke.

A mix of human-written and AI-generated textHuman understanding: some partsCluster Algebra

Oct 29, 2026PDF ↗View work →

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Algebraicity of rank-two scattering wall functions

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